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Finding the Third Proportional to 174,792 and 267,282

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Solution

The third proportional to 174,792 and 267,282 is: 408,712.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    174,792 : 267,282 = 267,282 : x
  2. Step 2: Convert to fraction form
    174,792/267,282 = 267,282/x
  3. Step 3: Cross multiply
    174,792x = 267,282 × 267,282
  4. Step 4: Simplify right side
    174,792x = 71,439,667,524
  5. Step 5: Solve for x
    x = 71,439,667,524/174,792
  6. Step 6: Final answer
    x = 408,712.46

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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.