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Finding the Third Proportional to 249.75 and 414.56

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Solution

The third proportional to 249.75 and 414.56 is: 688.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    249.75 : 414.56 = 414.56 : x
  2. Step 2: Convert to fraction form
    249.75/414.56 = 414.56/x
  3. Step 3: Cross multiply
    249.75x = 414.56 × 414.56
  4. Step 4: Simplify right side
    249.75x = 171,862.07
  5. Step 5: Solve for x
    x = 171,862.07/249.75
  6. Step 6: Final answer
    x = 688.14

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Why These Related Problems?

These problems maintain the same ratio (1.66) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.