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Finding the Third Proportional to 132,384.38 and 287,717.06

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Solution

The third proportional to 132,384.38 and 287,717.06 is: 625,308.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    132,384.38 : 287,717.06 = 287,717.06 : x
  2. Step 2: Convert to fraction form
    132,384.38/287,717.06 = 287,717.06/x
  3. Step 3: Cross multiply
    132,384.38x = 287,717.06 × 287,717.06
  4. Step 4: Simplify right side
    132,384.38x = 82,781,108,053.63
  5. Step 5: Solve for x
    x = 82,781,108,053.63/132,384.38
  6. Step 6: Final answer
    x = 625,308.75

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.