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Finding the Third Proportional to 224.33 and 327.96

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Solution

The third proportional to 224.33 and 327.96 is: 479.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    224.33 : 327.96 = 327.96 : x
  2. Step 2: Convert to fraction form
    224.33/327.96 = 327.96/x
  3. Step 3: Cross multiply
    224.33x = 327.96 × 327.96
  4. Step 4: Simplify right side
    224.33x = 107,554.53
  5. Step 5: Solve for x
    x = 107,554.53/224.33
  6. Step 6: Final answer
    x = 479.44

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.