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Finding the Third Proportional to 187,948 and 267,234

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Solution

The third proportional to 187,948 and 267,234 is: 379,966.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    187,948 : 267,234 = 267,234 : x
  2. Step 2: Convert to fraction form
    187,948/267,234 = 267,234/x
  3. Step 3: Cross multiply
    187,948x = 267,234 × 267,234
  4. Step 4: Simplify right side
    187,948x = 71,414,010,756
  5. Step 5: Solve for x
    x = 71,414,010,756/187,948
  6. Step 6: Final answer
    x = 379,966.86

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Why These Related Problems?

These problems maintain the same ratio (1.42) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.