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Finding the Third Proportional to 232.38 and 563.69

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Solution

The third proportional to 232.38 and 563.69 is: 1,367.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    232.38 : 563.69 = 563.69 : x
  2. Step 2: Convert to fraction form
    232.38/563.69 = 563.69/x
  3. Step 3: Cross multiply
    232.38x = 563.69 × 563.69
  4. Step 4: Simplify right side
    232.38x = 317,743.60
  5. Step 5: Solve for x
    x = 317,743.60/232.38
  6. Step 6: Final answer
    x = 1,367.37

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Why These Related Problems?

These problems maintain the same ratio (2.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.