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Finding the Third Proportional to 224.96 and 465.54

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Solution

The third proportional to 224.96 and 465.54 is: 963.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    224.96 : 465.54 = 465.54 : x
  2. Step 2: Convert to fraction form
    224.96/465.54 = 465.54/x
  3. Step 3: Cross multiply
    224.96x = 465.54 × 465.54
  4. Step 4: Simplify right side
    224.96x = 216,726.62
  5. Step 5: Solve for x
    x = 216,726.62/224.96
  6. Step 6: Final answer
    x = 963.38

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Why These Related Problems?

These problems maintain the same ratio (2.07) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.