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Finding the Third Proportional to 124.22 and 208.78

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Solution

The third proportional to 124.22 and 208.78 is: 350.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    124.22 : 208.78 = 208.78 : x
  2. Step 2: Convert to fraction form
    124.22/208.78 = 208.78/x
  3. Step 3: Cross multiply
    124.22x = 208.78 × 208.78
  4. Step 4: Simplify right side
    124.22x = 43,589.61
  5. Step 5: Solve for x
    x = 43,589.61/124.22
  6. Step 6: Final answer
    x = 350.91

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Why These Related Problems?

These problems maintain the same ratio (1.68) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.