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Finding the Third Proportional to 122,745.38 and 267,360.75

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Solution

The third proportional to 122,745.38 and 267,360.75 is: 582,358.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    122,745.38 : 267,360.75 = 267,360.75 : x
  2. Step 2: Convert to fraction form
    122,745.38/267,360.75 = 267,360.75/x
  3. Step 3: Cross multiply
    122,745.38x = 267,360.75 × 267,360.75
  4. Step 4: Simplify right side
    122,745.38x = 71,481,770,640.56
  5. Step 5: Solve for x
    x = 71,481,770,640.56/122,745.38
  6. Step 6: Final answer
    x = 582,358.16

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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.