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Finding the Third Proportional to 132,217.31 and 285,474.38

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Solution

The third proportional to 132,217.31 and 285,474.38 is: 616,376.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    132,217.31 : 285,474.38 = 285,474.38 : x
  2. Step 2: Convert to fraction form
    132,217.31/285,474.38 = 285,474.38/x
  3. Step 3: Cross multiply
    132,217.31x = 285,474.38 × 285,474.38
  4. Step 4: Simplify right side
    132,217.31x = 81,495,618,781.64
  5. Step 5: Solve for x
    x = 81,495,618,781.64/132,217.31
  6. Step 6: Final answer
    x = 616,376.31

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.