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Finding the Third Proportional to 169,540 and 207,448

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Solution

The third proportional to 169,540 and 207,448 is: 253,831.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    169,540 : 207,448 = 207,448 : x
  2. Step 2: Convert to fraction form
    169,540/207,448 = 207,448/x
  3. Step 3: Cross multiply
    169,540x = 207,448 × 207,448
  4. Step 4: Simplify right side
    169,540x = 43,034,672,704
  5. Step 5: Solve for x
    x = 43,034,672,704/169,540
  6. Step 6: Final answer
    x = 253,831.97

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Why These Related Problems?

These problems maintain the same ratio (1.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.