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Finding the Third Proportional to 232.07 and 309.34

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Solution

The third proportional to 232.07 and 309.34 is: 412.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    232.07 : 309.34 = 309.34 : x
  2. Step 2: Convert to fraction form
    232.07/309.34 = 309.34/x
  3. Step 3: Cross multiply
    232.07x = 309.34 × 309.34
  4. Step 4: Simplify right side
    232.07x = 95,691.14
  5. Step 5: Solve for x
    x = 95,691.14/232.07
  6. Step 6: Final answer
    x = 412.34

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Why These Related Problems?

These problems maintain the same ratio (1.33) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.