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Finding the Third Proportional to 182,500 and 267,448

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Solution

The third proportional to 182,500 and 267,448 is: 391,936.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    182,500 : 267,448 = 267,448 : x
  2. Step 2: Convert to fraction form
    182,500/267,448 = 267,448/x
  3. Step 3: Cross multiply
    182,500x = 267,448 × 267,448
  4. Step 4: Simplify right side
    182,500x = 71,528,432,704
  5. Step 5: Solve for x
    x = 71,528,432,704/182,500
  6. Step 6: Final answer
    x = 391,936.62

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.