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Finding the Third Proportional to 101.75 and 249.88

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Solution

The third proportional to 101.75 and 249.88 is: 613.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    101.75 : 249.88 = 249.88 : x
  2. Step 2: Convert to fraction form
    101.75/249.88 = 249.88/x
  3. Step 3: Cross multiply
    101.75x = 249.88 × 249.88
  4. Step 4: Simplify right side
    101.75x = 62,437.52
  5. Step 5: Solve for x
    x = 62,437.52/101.75
  6. Step 6: Final answer
    x = 613.64

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Why These Related Problems?

These problems maintain the same ratio (2.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.