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Finding the Third Proportional to 221.97 and 330.66

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Solution

The third proportional to 221.97 and 330.66 is: 492.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    221.97 : 330.66 = 330.66 : x
  2. Step 2: Convert to fraction form
    221.97/330.66 = 330.66/x
  3. Step 3: Cross multiply
    221.97x = 330.66 × 330.66
  4. Step 4: Simplify right side
    221.97x = 109,333.56
  5. Step 5: Solve for x
    x = 109,333.56/221.97
  6. Step 6: Final answer
    x = 492.56

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.