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Finding the Third Proportional to 221.91 and 333.28

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Solution

The third proportional to 221.91 and 333.28 is: 500.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    221.91 : 333.28 = 333.28 : x
  2. Step 2: Convert to fraction form
    221.91/333.28 = 333.28/x
  3. Step 3: Cross multiply
    221.91x = 333.28 × 333.28
  4. Step 4: Simplify right side
    221.91x = 111,076.39
  5. Step 5: Solve for x
    x = 111,076.39/221.91
  6. Step 6: Final answer
    x = 500.56

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.