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Finding the Third Proportional to 224.96 and 490.71

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Solution

The third proportional to 224.96 and 490.71 is: 1,070.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    224.96 : 490.71 = 490.71 : x
  2. Step 2: Convert to fraction form
    224.96/490.71 = 490.71/x
  3. Step 3: Cross multiply
    224.96x = 490.71 × 490.71
  4. Step 4: Simplify right side
    224.96x = 240,792.91
  5. Step 5: Solve for x
    x = 240,792.91/224.96
  6. Step 6: Final answer
    x = 1,070.36

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.