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Finding the Third Proportional to 231.47 and 532.27

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Solution

The third proportional to 231.47 and 532.27 is: 1,223.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    231.47 : 532.27 = 532.27 : x
  2. Step 2: Convert to fraction form
    231.47/532.27 = 532.27/x
  3. Step 3: Cross multiply
    231.47x = 532.27 × 532.27
  4. Step 4: Simplify right side
    231.47x = 283,306.70
  5. Step 5: Solve for x
    x = 283,306.70/231.47
  6. Step 6: Final answer
    x = 1,223.95

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Why These Related Problems?

These problems maintain the same ratio (2.30) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.