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Finding the Third Proportional to 171,180.50 and 267,134

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Solution

The third proportional to 171,180.50 and 267,134 is: 416,873.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    171,180.50 : 267,134 = 267,134 : x
  2. Step 2: Convert to fraction form
    171,180.50/267,134 = 267,134/x
  3. Step 3: Cross multiply
    171,180.50x = 267,134 × 267,134
  4. Step 4: Simplify right side
    171,180.50x = 71,360,573,956
  5. Step 5: Solve for x
    x = 71,360,573,956/171,180.50
  6. Step 6: Final answer
    x = 416,873.27

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