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Finding the Third Proportional to 163.88 and 220.44

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Solution

The third proportional to 163.88 and 220.44 is: 296.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    163.88 : 220.44 = 220.44 : x
  2. Step 2: Convert to fraction form
    163.88/220.44 = 220.44/x
  3. Step 3: Cross multiply
    163.88x = 220.44 × 220.44
  4. Step 4: Simplify right side
    163.88x = 48,592.69
  5. Step 5: Solve for x
    x = 48,592.69/163.88
  6. Step 6: Final answer
    x = 296.52

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Why These Related Problems?

These problems maintain the same ratio (1.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.