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Finding the Third Proportional to 352.27 and 475.52

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Solution

The third proportional to 352.27 and 475.52 is: 641.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    352.27 : 475.52 = 475.52 : x
  2. Step 2: Convert to fraction form
    352.27/475.52 = 475.52/x
  3. Step 3: Cross multiply
    352.27x = 475.52 × 475.52
  4. Step 4: Simplify right side
    352.27x = 226,122.54
  5. Step 5: Solve for x
    x = 226,122.54/352.27
  6. Step 6: Final answer
    x = 641.91

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Why These Related Problems?

These problems maintain the same ratio (1.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.