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Finding the Third Proportional to 224.19 and 328.97

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Solution

The third proportional to 224.19 and 328.97 is: 482.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    224.19 : 328.97 = 328.97 : x
  2. Step 2: Convert to fraction form
    224.19/328.97 = 328.97/x
  3. Step 3: Cross multiply
    224.19x = 328.97 × 328.97
  4. Step 4: Simplify right side
    224.19x = 108,220.44
  5. Step 5: Solve for x
    x = 108,220.44/224.19
  6. Step 6: Final answer
    x = 482.72

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.