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Finding the Third Proportional to 267.68 and 404.37

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Solution

The third proportional to 267.68 and 404.37 is: 610.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    267.68 : 404.37 = 404.37 : x
  2. Step 2: Convert to fraction form
    267.68/404.37 = 404.37/x
  3. Step 3: Cross multiply
    267.68x = 404.37 × 404.37
  4. Step 4: Simplify right side
    267.68x = 163,512.82
  5. Step 5: Solve for x
    x = 163,512.82/267.68
  6. Step 6: Final answer
    x = 610.85

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.