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Finding the Third Proportional to 230.75 and 496.38

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Solution

The third proportional to 230.75 and 496.38 is: 1,067.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    230.75 : 496.38 = 496.38 : x
  2. Step 2: Convert to fraction form
    230.75/496.38 = 496.38/x
  3. Step 3: Cross multiply
    230.75x = 496.38 × 496.38
  4. Step 4: Simplify right side
    230.75x = 246,388.14
  5. Step 5: Solve for x
    x = 246,388.14/230.75
  6. Step 6: Final answer
    x = 1,067.77

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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.