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Finding the Third Proportional to 279.75 and 308.44

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Solution

The third proportional to 279.75 and 308.44 is: 340.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    279.75 : 308.44 = 308.44 : x
  2. Step 2: Convert to fraction form
    279.75/308.44 = 308.44/x
  3. Step 3: Cross multiply
    279.75x = 308.44 × 308.44
  4. Step 4: Simplify right side
    279.75x = 95,133.69
  5. Step 5: Solve for x
    x = 95,133.69/279.75
  6. Step 6: Final answer
    x = 340.07

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These problems maintain the same ratio (1.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.