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Finding the Third Proportional to 232.75 and 596.13

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Solution

The third proportional to 232.75 and 596.13 is: 1,526.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    232.75 : 596.13 = 596.13 : x
  2. Step 2: Convert to fraction form
    232.75/596.13 = 596.13/x
  3. Step 3: Cross multiply
    232.75x = 596.13 × 596.13
  4. Step 4: Simplify right side
    232.75x = 355,365.02
  5. Step 5: Solve for x
    x = 355,365.02/232.75
  6. Step 6: Final answer
    x = 1,526.81

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Why These Related Problems?

These problems maintain the same ratio (2.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.