To solve the problem of how long it will take for Uranium-233 to reduce to 25%, we can follow these steps:
### Step-by-Step Solution:
1. **Understand Half-Life**: The half-life of a substance is the time it takes for half of the substance to decay. For Uranium-233, the half-life is given as 160,000 years.
2. **Identify the Decay Process**:
- After 160,000 years, the amount of Uranium-233 will reduce to 50% of its original amount.
- After another 160,000 years (which totals 320,000 years), the amount will reduce to 25% of its original amount. This is because:
- After the first 160,000 years: 100% → 50%
- After the second 160,000 years: 50% → 25%
3. **Calculate the Total Time**:
- Since it takes 160,000 years to go from 100% to 50%, and another 160,000 years to go from 50% to 25%, we can add these two time periods together:
\[
\text{Total Time} = 160,000 \text{ years} + 160,000 \text{ years} = 320,000 \text{ years}
\]
4. **Conclusion**: Therefore, it will take a total of 320,000 years for Uranium-233 to reduce to 25% of its original amount.
### Final Answer:
It will take **320,000 years** for Uranium-233 to reduce to 25%.
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