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Finding the Third Proportional to 222.54 and 246.27

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Solution

The third proportional to 222.54 and 246.27 is: 272.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    222.54 : 246.27 = 246.27 : x
  2. Step 2: Convert to fraction form
    222.54/246.27 = 246.27/x
  3. Step 3: Cross multiply
    222.54x = 246.27 × 246.27
  4. Step 4: Simplify right side
    222.54x = 60,648.68
  5. Step 5: Solve for x
    x = 60,648.68/222.54
  6. Step 6: Final answer
    x = 272.53

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Why These Related Problems?

These problems maintain the same ratio (1.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.