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Finding the Third Proportional to 171,177.38 and 267,129.38

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Solution

The third proportional to 171,177.38 and 267,129.38 is: 416,866.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    171,177.38 : 267,129.38 = 267,129.38 : x
  2. Step 2: Convert to fraction form
    171,177.38/267,129.38 = 267,129.38/x
  3. Step 3: Cross multiply
    171,177.38x = 267,129.38 × 267,129.38
  4. Step 4: Simplify right side
    171,177.38x = 71,358,102,987.89
  5. Step 5: Solve for x
    x = 71,358,102,987.89/171,177.38
  6. Step 6: Final answer
    x = 416,866.44

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.