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Finding the Third Proportional to 140,132.53 and 217,576.13

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Solution

The third proportional to 140,132.53 and 217,576.13 is: 337,818.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    140,132.53 : 217,576.13 = 217,576.13 : x
  2. Step 2: Convert to fraction form
    140,132.53/217,576.13 = 217,576.13/x
  3. Step 3: Cross multiply
    140,132.53x = 217,576.13 × 217,576.13
  4. Step 4: Simplify right side
    140,132.53x = 47,339,370,170.02
  5. Step 5: Solve for x
    x = 47,339,370,170.02/140,132.53
  6. Step 6: Final answer
    x = 337,818.56

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Why These Related Problems?

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