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Finding the Third Proportional to 231.47 and 495.77

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Solution

The third proportional to 231.47 and 495.77 is: 1,061.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    231.47 : 495.77 = 495.77 : x
  2. Step 2: Convert to fraction form
    231.47/495.77 = 495.77/x
  3. Step 3: Cross multiply
    231.47x = 495.77 × 495.77
  4. Step 4: Simplify right side
    231.47x = 245,791.30
  5. Step 5: Solve for x
    x = 245,791.30/231.47
  6. Step 6: Final answer
    x = 1,061.88

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.