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Finding the Third Proportional to 227.44 and 244.56

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Solution

The third proportional to 227.44 and 244.56 is: 262.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    227.44 : 244.56 = 244.56 : x
  2. Step 2: Convert to fraction form
    227.44/244.56 = 244.56/x
  3. Step 3: Cross multiply
    227.44x = 244.56 × 244.56
  4. Step 4: Simplify right side
    227.44x = 59,810.82
  5. Step 5: Solve for x
    x = 59,810.82/227.44
  6. Step 6: Final answer
    x = 262.98

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Why These Related Problems?

These problems maintain the same ratio (1.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.