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Finding the Third Proportional to 140,591.50 and 217,756

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Solution

The third proportional to 140,591.50 and 217,756 is: 337,272.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    140,591.50 : 217,756 = 217,756 : x
  2. Step 2: Convert to fraction form
    140,591.50/217,756 = 217,756/x
  3. Step 3: Cross multiply
    140,591.50x = 217,756 × 217,756
  4. Step 4: Simplify right side
    140,591.50x = 47,417,675,536
  5. Step 5: Solve for x
    x = 47,417,675,536/140,591.50
  6. Step 6: Final answer
    x = 337,272.71

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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.