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Finding the Third Proportional to 229.88 and 495.38

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Solution

The third proportional to 229.88 and 495.38 is: 1,067.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    229.88 : 495.38 = 495.38 : x
  2. Step 2: Convert to fraction form
    229.88/495.38 = 495.38/x
  3. Step 3: Cross multiply
    229.88x = 495.38 × 495.38
  4. Step 4: Simplify right side
    229.88x = 245,396.39
  5. Step 5: Solve for x
    x = 245,396.39/229.88
  6. Step 6: Final answer
    x = 1,067.52

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.