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Finding the Third Proportional to 106.38 and 223.44

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Solution

The third proportional to 106.38 and 223.44 is: 469.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    106.38 : 223.44 = 223.44 : x
  2. Step 2: Convert to fraction form
    106.38/223.44 = 223.44/x
  3. Step 3: Cross multiply
    106.38x = 223.44 × 223.44
  4. Step 4: Simplify right side
    106.38x = 49,924.32
  5. Step 5: Solve for x
    x = 49,924.32/106.38
  6. Step 6: Final answer
    x = 469.32

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Why These Related Problems?

These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.