Select the related number from the given alternatives
`11: 141 : : 17:` ?

Options

A. 309
B. 301
C. 269
D. 285

Answer

To solve the problem, we need to find the relationship between the numbers given in the question. The relationship is established between the numbers 11 and 141. We will use this relationship to find the corresponding number for 17.

### Step-by-Step Solution:

1. **Identify the relationship between 11 and 141**:
- First, we calculate the square of 11.
- \( 11^2 = 121 \)

2. **Determine how to get from 121 to 141**:
- We see that \( 141 = 121 + 20 \).
- Therefore, the relationship can be expressed as:
\[ 11 \rightarrow 11^2 + 20 = 141 \]

3. **Apply the same relationship to 17**:
- Now, we calculate the square of 17.
- \( 17^2 = 289 \)

4. **Add 20 to the square of 17**:
- We add 20 to 289:
\[ 289 + 20 = 309 \]

5. **Conclusion**:
- Thus, the number related to 17, following the same relationship, is 309.

### Final Answer:
The related number for 17 is **309**.