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Finding the Third Proportional to 227.16 and 464.48

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Solution

The third proportional to 227.16 and 464.48 is: 949.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    227.16 : 464.48 = 464.48 : x
  2. Step 2: Convert to fraction form
    227.16/464.48 = 464.48/x
  3. Step 3: Cross multiply
    227.16x = 464.48 × 464.48
  4. Step 4: Simplify right side
    227.16x = 215,745.73
  5. Step 5: Solve for x
    x = 215,745.73/227.16
  6. Step 6: Final answer
    x = 949.77

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Why These Related Problems?

These problems maintain the same ratio (2.04) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.