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Finding the Third Proportional to 132,694 and 291,448

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Solution

The third proportional to 132,694 and 291,448 is: 640,133.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    132,694 : 291,448 = 291,448 : x
  2. Step 2: Convert to fraction form
    132,694/291,448 = 291,448/x
  3. Step 3: Cross multiply
    132,694x = 291,448 × 291,448
  4. Step 4: Simplify right side
    132,694x = 84,941,936,704
  5. Step 5: Solve for x
    x = 84,941,936,704/132,694
  6. Step 6: Final answer
    x = 640,133.97

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.