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Finding the Third Proportional to 267,667 and 394,102

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Solution

The third proportional to 267,667 and 394,102 is: 580,259.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    267,667 : 394,102 = 394,102 : x
  2. Step 2: Convert to fraction form
    267,667/394,102 = 394,102/x
  3. Step 3: Cross multiply
    267,667x = 394,102 × 394,102
  4. Step 4: Simplify right side
    267,667x = 155,316,386,404
  5. Step 5: Solve for x
    x = 155,316,386,404/267,667
  6. Step 6: Final answer
    x = 580,259.75

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.