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Finding the Third Proportional to 249.75 and 351.56

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Solution

The third proportional to 249.75 and 351.56 is: 494.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    249.75 : 351.56 = 351.56 : x
  2. Step 2: Convert to fraction form
    249.75/351.56 = 351.56/x
  3. Step 3: Cross multiply
    249.75x = 351.56 × 351.56
  4. Step 4: Simplify right side
    249.75x = 123,596.19
  5. Step 5: Solve for x
    x = 123,596.19/249.75
  6. Step 6: Final answer
    x = 494.88

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Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.