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Finding the Third Proportional to 161.13 and 218.88

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Solution

The third proportional to 161.13 and 218.88 is: 297.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    161.13 : 218.88 = 218.88 : x
  2. Step 2: Convert to fraction form
    161.13/218.88 = 218.88/x
  3. Step 3: Cross multiply
    161.13x = 218.88 × 218.88
  4. Step 4: Simplify right side
    161.13x = 47,906.27
  5. Step 5: Solve for x
    x = 47,906.27/161.13
  6. Step 6: Final answer
    x = 297.32

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Why These Related Problems?

These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.