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Finding the Third Proportional to 174,912 and 267,439

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Solution

The third proportional to 174,912 and 267,439 is: 408,912.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    174,912 : 267,439 = 267,439 : x
  2. Step 2: Convert to fraction form
    174,912/267,439 = 267,439/x
  3. Step 3: Cross multiply
    174,912x = 267,439 × 267,439
  4. Step 4: Simplify right side
    174,912x = 71,523,618,721
  5. Step 5: Solve for x
    x = 71,523,618,721/174,912
  6. Step 6: Final answer
    x = 408,912.02

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Why These Related Problems?

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