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Finding the Third Proportional to 231.38 and 495.13

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Solution

The third proportional to 231.38 and 495.13 is: 1,059.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    231.38 : 495.13 = 495.13 : x
  2. Step 2: Convert to fraction form
    231.38/495.13 = 495.13/x
  3. Step 3: Cross multiply
    231.38x = 495.13 × 495.13
  4. Step 4: Simplify right side
    231.38x = 245,148.77
  5. Step 5: Solve for x
    x = 245,148.77/231.38
  6. Step 6: Final answer
    x = 1,059.53

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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.