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Finding the Third Proportional to 165.44 and 223.97

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Solution

The third proportional to 165.44 and 223.97 is: 303.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    165.44 : 223.97 = 223.97 : x
  2. Step 2: Convert to fraction form
    165.44/223.97 = 223.97/x
  3. Step 3: Cross multiply
    165.44x = 223.97 × 223.97
  4. Step 4: Simplify right side
    165.44x = 50,162.00
  5. Step 5: Solve for x
    x = 50,162.00/165.44
  6. Step 6: Final answer
    x = 303.21

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