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Finding the Third Proportional to 231.88 and 500.69

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Solution

The third proportional to 231.88 and 500.69 is: 1,081.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    231.88 : 500.69 = 500.69 : x
  2. Step 2: Convert to fraction form
    231.88/500.69 = 500.69/x
  3. Step 3: Cross multiply
    231.88x = 500.69 × 500.69
  4. Step 4: Simplify right side
    231.88x = 250,687.97
  5. Step 5: Solve for x
    x = 250,687.97/231.88
  6. Step 6: Final answer
    x = 1,081.13

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.