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Finding the Third Proportional to 187,456.75 and 267,874

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Solution

The third proportional to 187,456.75 and 267,874 is: 382,789.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    187,456.75 : 267,874 = 267,874 : x
  2. Step 2: Convert to fraction form
    187,456.75/267,874 = 267,874/x
  3. Step 3: Cross multiply
    187,456.75x = 267,874 × 267,874
  4. Step 4: Simplify right side
    187,456.75x = 71,756,479,876
  5. Step 5: Solve for x
    x = 71,756,479,876/187,456.75
  6. Step 6: Final answer
    x = 382,789.52

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These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.