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Finding the Third Proportional to 221.44 and 451.88

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Solution

The third proportional to 221.44 and 451.88 is: 922.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    221.44 : 451.88 = 451.88 : x
  2. Step 2: Convert to fraction form
    221.44/451.88 = 451.88/x
  3. Step 3: Cross multiply
    221.44x = 451.88 × 451.88
  4. Step 4: Simplify right side
    221.44x = 204,191.02
  5. Step 5: Solve for x
    x = 204,191.02/221.44
  6. Step 6: Final answer
    x = 922.12

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Why These Related Problems?

These problems maintain the same ratio (2.04) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.