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Finding the Third Proportional to 224.33 and 327.64

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Solution

The third proportional to 224.33 and 327.64 is: 478.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    224.33 : 327.64 = 327.64 : x
  2. Step 2: Convert to fraction form
    224.33/327.64 = 327.64/x
  3. Step 3: Cross multiply
    224.33x = 327.64 × 327.64
  4. Step 4: Simplify right side
    224.33x = 107,347.10
  5. Step 5: Solve for x
    x = 107,347.10/224.33
  6. Step 6: Final answer
    x = 478.52

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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.