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Finding the Third Proportional to 232.05 and 346.91

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Solution

The third proportional to 232.05 and 346.91 is: 518.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    232.05 : 346.91 = 346.91 : x
  2. Step 2: Convert to fraction form
    232.05/346.91 = 346.91/x
  3. Step 3: Cross multiply
    232.05x = 346.91 × 346.91
  4. Step 4: Simplify right side
    232.05x = 120,346.40
  5. Step 5: Solve for x
    x = 120,346.40/232.05
  6. Step 6: Final answer
    x = 518.61

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.