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Finding the Third Proportional to 187,427.25 and 267,117.75

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Solution

The third proportional to 187,427.25 and 267,117.75 is: 380,691.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    187,427.25 : 267,117.75 = 267,117.75 : x
  2. Step 2: Convert to fraction form
    187,427.25/267,117.75 = 267,117.75/x
  3. Step 3: Cross multiply
    187,427.25x = 267,117.75 × 267,117.75
  4. Step 4: Simplify right side
    187,427.25x = 71,351,892,365.06
  5. Step 5: Solve for x
    x = 71,351,892,365.06/187,427.25
  6. Step 6: Final answer
    x = 380,691.13

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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.