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Finding the Third Proportional to 142,666.13 and 337,390.13

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Solution

The third proportional to 142,666.13 and 337,390.13 is: 797,891.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    142,666.13 : 337,390.13 = 337,390.13 : x
  2. Step 2: Convert to fraction form
    142,666.13/337,390.13 = 337,390.13/x
  3. Step 3: Cross multiply
    142,666.13x = 337,390.13 × 337,390.13
  4. Step 4: Simplify right side
    142,666.13x = 113,832,096,447.52
  5. Step 5: Solve for x
    x = 113,832,096,447.52/142,666.13
  6. Step 6: Final answer
    x = 797,891.56

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Why These Related Problems?

These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.