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Finding the Third Proportional to 104.25 and 216.88

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Solution

The third proportional to 104.25 and 216.88 is: 451.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    104.25 : 216.88 = 216.88 : x
  2. Step 2: Convert to fraction form
    104.25/216.88 = 216.88/x
  3. Step 3: Cross multiply
    104.25x = 216.88 × 216.88
  4. Step 4: Simplify right side
    104.25x = 47,034.77
  5. Step 5: Solve for x
    x = 47,034.77/104.25
  6. Step 6: Final answer
    x = 451.17

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.