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Finding the Third Proportional to 187,414.31 and 267,102.56

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Solution

The third proportional to 187,414.31 and 267,102.56 is: 380,674.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    187,414.31 : 267,102.56 = 267,102.56 : x
  2. Step 2: Convert to fraction form
    187,414.31/267,102.56 = 267,102.56/x
  3. Step 3: Cross multiply
    187,414.31x = 267,102.56 × 267,102.56
  4. Step 4: Simplify right side
    187,414.31x = 71,343,778,894.07
  5. Step 5: Solve for x
    x = 71,343,778,894.07/187,414.31
  6. Step 6: Final answer
    x = 380,674.12

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Why These Related Problems?

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