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Finding the Third Proportional to 113.84 and 211.92

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Solution

The third proportional to 113.84 and 211.92 is: 394.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    113.84 : 211.92 = 211.92 : x
  2. Step 2: Convert to fraction form
    113.84/211.92 = 211.92/x
  3. Step 3: Cross multiply
    113.84x = 211.92 × 211.92
  4. Step 4: Simplify right side
    113.84x = 44,910.88
  5. Step 5: Solve for x
    x = 44,910.88/113.84
  6. Step 6: Final answer
    x = 394.52

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Why These Related Problems?

These problems maintain the same ratio (1.86) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.