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Finding the Third Proportional to 232.03 and 406.69

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Solution

The third proportional to 232.03 and 406.69 is: 712.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    232.03 : 406.69 = 406.69 : x
  2. Step 2: Convert to fraction form
    232.03/406.69 = 406.69/x
  3. Step 3: Cross multiply
    232.03x = 406.69 × 406.69
  4. Step 4: Simplify right side
    232.03x = 165,394.72
  5. Step 5: Solve for x
    x = 165,394.72/232.03
  6. Step 6: Final answer
    x = 712.81

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Why These Related Problems?

These problems maintain the same ratio (1.75) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.