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Finding the Third Proportional to 174,904.31 and 267,426.56

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Solution

The third proportional to 174,904.31 and 267,426.56 is: 408,891.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    174,904.31 : 267,426.56 = 267,426.56 : x
  2. Step 2: Convert to fraction form
    174,904.31/267,426.56 = 267,426.56/x
  3. Step 3: Cross multiply
    174,904.31x = 267,426.56 × 267,426.56
  4. Step 4: Simplify right side
    174,904.31x = 71,516,966,330.57
  5. Step 5: Solve for x
    x = 71,516,966,330.57/174,904.31
  6. Step 6: Final answer
    x = 408,891.96

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These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.