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Finding the Third Proportional to 279.07 and 323.92

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Solution

The third proportional to 279.07 and 323.92 is: 375.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    279.07 : 323.92 = 323.92 : x
  2. Step 2: Convert to fraction form
    279.07/323.92 = 323.92/x
  3. Step 3: Cross multiply
    279.07x = 323.92 × 323.92
  4. Step 4: Simplify right side
    279.07x = 104,924.75
  5. Step 5: Solve for x
    x = 104,924.75/279.07
  6. Step 6: Final answer
    x = 375.98

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These problems maintain the same ratio (1.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.