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Finding the Third Proportional to 122.24 and 267.15

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Solution

The third proportional to 122.24 and 267.15 is: 583.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    122.24 : 267.15 = 267.15 : x
  2. Step 2: Convert to fraction form
    122.24/267.15 = 267.15/x
  3. Step 3: Cross multiply
    122.24x = 267.15 × 267.15
  4. Step 4: Simplify right side
    122.24x = 71,370.37
  5. Step 5: Solve for x
    x = 71,370.37/122.24
  6. Step 6: Final answer
    x = 583.86

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.