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Finding the Third Proportional to 179.44 and 268.56

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Solution

The third proportional to 179.44 and 268.56 is: 401.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    179.44 : 268.56 = 268.56 : x
  2. Step 2: Convert to fraction form
    179.44/268.56 = 268.56/x
  3. Step 3: Cross multiply
    179.44x = 268.56 × 268.56
  4. Step 4: Simplify right side
    179.44x = 72,125.82
  5. Step 5: Solve for x
    x = 72,125.82/179.44
  6. Step 6: Final answer
    x = 401.96

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.