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Finding the Third Proportional to 171,469 and 267,019.50

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Solution

The third proportional to 171,469 and 267,019.50 is: 415,815.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    171,469 : 267,019.50 = 267,019.50 : x
  2. Step 2: Convert to fraction form
    171,469/267,019.50 = 267,019.50/x
  3. Step 3: Cross multiply
    171,469x = 267,019.50 × 267,019.50
  4. Step 4: Simplify right side
    171,469x = 71,299,413,380.25
  5. Step 5: Solve for x
    x = 71,299,413,380.25/171,469
  6. Step 6: Final answer
    x = 415,815.18

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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.