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Finding the Third Proportional to 301.14 and 323.92

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Solution

The third proportional to 301.14 and 323.92 is: 348.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    301.14 : 323.92 = 323.92 : x
  2. Step 2: Convert to fraction form
    301.14/323.92 = 323.92/x
  3. Step 3: Cross multiply
    301.14x = 323.92 × 323.92
  4. Step 4: Simplify right side
    301.14x = 104,924.75
  5. Step 5: Solve for x
    x = 104,924.75/301.14
  6. Step 6: Final answer
    x = 348.43

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Why These Related Problems?

These problems maintain the same ratio (1.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.