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Finding the Third Proportional to 106,472.72 and 234,549.66

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Solution

The third proportional to 106,472.72 and 234,549.66 is: 516,691.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    106,472.72 : 234,549.66 = 234,549.66 : x
  2. Step 2: Convert to fraction form
    106,472.72/234,549.66 = 234,549.66/x
  3. Step 3: Cross multiply
    106,472.72x = 234,549.66 × 234,549.66
  4. Step 4: Simplify right side
    106,472.72x = 55,013,541,246.99
  5. Step 5: Solve for x
    x = 55,013,541,246.99/106,472.72
  6. Step 6: Final answer
    x = 516,691.43

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.