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Finding the Third Proportional to 221.54 and 481.46

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Solution

The third proportional to 221.54 and 481.46 is: 1,046.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    221.54 : 481.46 = 481.46 : x
  2. Step 2: Convert to fraction form
    221.54/481.46 = 481.46/x
  3. Step 3: Cross multiply
    221.54x = 481.46 × 481.46
  4. Step 4: Simplify right side
    221.54x = 231,808.40
  5. Step 5: Solve for x
    x = 231,808.40/221.54
  6. Step 6: Final answer
    x = 1,046.36

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.