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Finding the Third Proportional to 122,472 and 267,408

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Solution

The third proportional to 122,472 and 267,408 is: 583,864.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    122,472 : 267,408 = 267,408 : x
  2. Step 2: Convert to fraction form
    122,472/267,408 = 267,408/x
  3. Step 3: Cross multiply
    122,472x = 267,408 × 267,408
  4. Step 4: Simplify right side
    122,472x = 71,507,038,464
  5. Step 5: Solve for x
    x = 71,507,038,464/122,472
  6. Step 6: Final answer
    x = 583,864.38

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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.