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Finding the Third Proportional to 232.38 and 366.38

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Solution

The third proportional to 232.38 and 366.38 is: 577.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    232.38 : 366.38 = 366.38 : x
  2. Step 2: Convert to fraction form
    232.38/366.38 = 366.38/x
  3. Step 3: Cross multiply
    232.38x = 366.38 × 366.38
  4. Step 4: Simplify right side
    232.38x = 134,230.64
  5. Step 5: Solve for x
    x = 134,230.64/232.38
  6. Step 6: Final answer
    x = 577.65

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Why These Related Problems?

These problems maintain the same ratio (1.58) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.