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Finding the Third Proportional to 167,760 and 261,792

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Solution

The third proportional to 167,760 and 261,792 is: 408,530.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    167,760 : 261,792 = 261,792 : x
  2. Step 2: Convert to fraction form
    167,760/261,792 = 261,792/x
  3. Step 3: Cross multiply
    167,760x = 261,792 × 261,792
  4. Step 4: Simplify right side
    167,760x = 68,535,051,264
  5. Step 5: Solve for x
    x = 68,535,051,264/167,760
  6. Step 6: Final answer
    x = 408,530.35

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.