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Finding the Third Proportional to 161,713 and 231,566

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Solution

The third proportional to 161,713 and 231,566 is: 331,592.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    161,713 : 231,566 = 231,566 : x
  2. Step 2: Convert to fraction form
    161,713/231,566 = 231,566/x
  3. Step 3: Cross multiply
    161,713x = 231,566 × 231,566
  4. Step 4: Simplify right side
    161,713x = 53,622,812,356
  5. Step 5: Solve for x
    x = 53,622,812,356/161,713
  6. Step 6: Final answer
    x = 331,592.47

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Why These Related Problems?

These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.