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Finding the Third Proportional to 232.75 and 564.38

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Solution

The third proportional to 232.75 and 564.38 is: 1,368.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    232.75 : 564.38 = 564.38 : x
  2. Step 2: Convert to fraction form
    232.75/564.38 = 564.38/x
  3. Step 3: Cross multiply
    232.75x = 564.38 × 564.38
  4. Step 4: Simplify right side
    232.75x = 318,519.14
  5. Step 5: Solve for x
    x = 318,519.14/232.75
  6. Step 6: Final answer
    x = 1,368.50

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Why These Related Problems?

These problems maintain the same ratio (2.42) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.