Fill in the boxes and complete the equivalent fractions:
`23/(34)=square/(238)=207/(square)`

Answer

To solve the problem of finding the equivalent fractions for the equation \( \frac{23}{34} = \frac{\text{square}}{238} = \frac{207}{\text{square}} \), we will follow these steps:

### Step 1: Understand the relationship between the fractions
We know that equivalent fractions maintain the same ratio. Therefore, if we can find a common multiplier for the denominators, we can find the corresponding numerators.

### Step 2: Find the multiplier for the denominator 34 to get 238
To find the number that we need to multiply 34 by to get 238, we can set up the equation:
\[ 34 \times x = 238 \]
To find \( x \), we divide 238 by 34:
\[ x = \frac{238}{34} = 7 \]
This means we multiply both the numerator and the denominator of \( \frac{23}{34} \) by 7.

### Step 3: Calculate the numerator for the first equivalent fraction
Now, we multiply the numerator 23 by 7:
\[ 23 \times 7 = 161 \]
So, the first equivalent fraction is:
\[ \frac{23}{34} = \frac{161}{238} \]

### Step 4: Find the multiplier for the denominator 23 to get 207
Next, we need to find out how 207 relates to 23. We can set up the equation:
\[ 23 \times y = 207 \]
To find \( y \), we divide 207 by 23:
\[ y = \frac{207}{23} = 9 \]
This means we multiply both the numerator and the denominator of \( \frac{34}{23} \) by 9.

### Step 5: Calculate the denominator for the second equivalent fraction
Now, we multiply the denominator 34 by 9:
\[ 34 \times 9 = 306 \]
So, the second equivalent fraction is:
\[ \frac{207}{23} = \frac{207}{306} \]

### Final Result
Thus, we can fill in the boxes:
\[ \frac{23}{34} = \frac{161}{238} = \frac{207}{306} \]

### Summary of the equivalent fractions:
- The first box is 161.
- The second box is 306.