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Finding the Third Proportional to 177,073.75 and 267,092.75

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Solution

The third proportional to 177,073.75 and 267,092.75 is: 402,874.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    177,073.75 : 267,092.75 = 267,092.75 : x
  2. Step 2: Convert to fraction form
    177,073.75/267,092.75 = 267,092.75/x
  3. Step 3: Cross multiply
    177,073.75x = 267,092.75 × 267,092.75
  4. Step 4: Simplify right side
    177,073.75x = 71,338,537,102.56
  5. Step 5: Solve for x
    x = 71,338,537,102.56/177,073.75
  6. Step 6: Final answer
    x = 402,874.72

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.