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Finding the Third Proportional to 122,409 and 267,282

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Solution

The third proportional to 122,409 and 267,282 is: 583,614.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    122,409 : 267,282 = 267,282 : x
  2. Step 2: Convert to fraction form
    122,409/267,282 = 267,282/x
  3. Step 3: Cross multiply
    122,409x = 267,282 × 267,282
  4. Step 4: Simplify right side
    122,409x = 71,439,667,524
  5. Step 5: Solve for x
    x = 71,439,667,524/122,409
  6. Step 6: Final answer
    x = 583,614.50

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.