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Finding the Third Proportional to 109.44 and 223.34

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Solution

The third proportional to 109.44 and 223.34 is: 455.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    109.44 : 223.34 = 223.34 : x
  2. Step 2: Convert to fraction form
    109.44/223.34 = 223.34/x
  3. Step 3: Cross multiply
    109.44x = 223.34 × 223.34
  4. Step 4: Simplify right side
    109.44x = 49,882.43
  5. Step 5: Solve for x
    x = 49,882.43/109.44
  6. Step 6: Final answer
    x = 455.81

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Why These Related Problems?

These problems maintain the same ratio (2.04) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.