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Finding the Third Proportional to 122,374.13 and 267,165

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Solution

The third proportional to 122,374.13 and 267,165 is: 583,269.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    122,374.13 : 267,165 = 267,165 : x
  2. Step 2: Convert to fraction form
    122,374.13/267,165 = 267,165/x
  3. Step 3: Cross multiply
    122,374.13x = 267,165 × 267,165
  4. Step 4: Simplify right side
    122,374.13x = 71,377,137,225
  5. Step 5: Solve for x
    x = 71,377,137,225/122,374.13
  6. Step 6: Final answer
    x = 583,269.85

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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.