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Finding the Third Proportional to 104.44 and 224.91

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Solution

The third proportional to 104.44 and 224.91 is: 484.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    104.44 : 224.91 = 224.91 : x
  2. Step 2: Convert to fraction form
    104.44/224.91 = 224.91/x
  3. Step 3: Cross multiply
    104.44x = 224.91 × 224.91
  4. Step 4: Simplify right side
    104.44x = 50,582.82
  5. Step 5: Solve for x
    x = 50,582.82/104.44
  6. Step 6: Final answer
    x = 484.34

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.