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Finding the Third Proportional to 171,785.81 and 267,494.06

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Solution

The third proportional to 171,785.81 and 267,494.06 is: 416,524.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    171,785.81 : 267,494.06 = 267,494.06 : x
  2. Step 2: Convert to fraction form
    171,785.81/267,494.06 = 267,494.06/x
  3. Step 3: Cross multiply
    171,785.81x = 267,494.06 × 267,494.06
  4. Step 4: Simplify right side
    171,785.81x = 71,553,073,472.75
  5. Step 5: Solve for x
    x = 71,553,073,472.75/171,785.81
  6. Step 6: Final answer
    x = 416,524.93

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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.