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Finding the Third Proportional to 140,278.22 and 217,654.17

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Solution

The third proportional to 140,278.22 and 217,654.17 is: 337,709.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    140,278.22 : 217,654.17 = 217,654.17 : x
  2. Step 2: Convert to fraction form
    140,278.22/217,654.17 = 217,654.17/x
  3. Step 3: Cross multiply
    140,278.22x = 217,654.17 × 217,654.17
  4. Step 4: Simplify right side
    140,278.22x = 47,373,338,534.59
  5. Step 5: Solve for x
    x = 47,373,338,534.59/140,278.22
  6. Step 6: Final answer
    x = 337,709.87

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These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.