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Finding the Third Proportional to 175.97 and 267.42

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Solution

The third proportional to 175.97 and 267.42 is: 406.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    175.97 : 267.42 = 267.42 : x
  2. Step 2: Convert to fraction form
    175.97/267.42 = 267.42/x
  3. Step 3: Cross multiply
    175.97x = 267.42 × 267.42
  4. Step 4: Simplify right side
    175.97x = 71,514.46
  5. Step 5: Solve for x
    x = 71,514.46/175.97
  6. Step 6: Final answer
    x = 406.40

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.