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Finding the Third Proportional to 171,459.28 and 267,003.84

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Solution

The third proportional to 171,459.28 and 267,003.84 is: 415,789.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    171,459.28 : 267,003.84 = 267,003.84 : x
  2. Step 2: Convert to fraction form
    171,459.28/267,003.84 = 267,003.84/x
  3. Step 3: Cross multiply
    171,459.28x = 267,003.84 × 267,003.84
  4. Step 4: Simplify right side
    171,459.28x = 71,291,052,577.27
  5. Step 5: Solve for x
    x = 71,291,052,577.27/171,459.28
  6. Step 6: Final answer
    x = 415,789.99

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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.