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Finding the Third Proportional to 247,882.78 and 363,862.13

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Solution

The third proportional to 247,882.78 and 363,862.13 is: 534,105.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    247,882.78 : 363,862.13 = 363,862.13 : x
  2. Step 2: Convert to fraction form
    247,882.78/363,862.13 = 363,862.13/x
  3. Step 3: Cross multiply
    247,882.78x = 363,862.13 × 363,862.13
  4. Step 4: Simplify right side
    247,882.78x = 132,395,646,009.52
  5. Step 5: Solve for x
    x = 132,395,646,009.52/247,882.78
  6. Step 6: Final answer
    x = 534,105.86

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.