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Finding the Third Proportional to 326.25 and 867.38

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Solution

The third proportional to 326.25 and 867.38 is: 2,306.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    326.25 : 867.38 = 867.38 : x
  2. Step 2: Convert to fraction form
    326.25/867.38 = 867.38/x
  3. Step 3: Cross multiply
    326.25x = 867.38 × 867.38
  4. Step 4: Simplify right side
    326.25x = 752,339.39
  5. Step 5: Solve for x
    x = 752,339.39/326.25
  6. Step 6: Final answer
    x = 2,306.02

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Why These Related Problems?

These problems maintain the same ratio (2.66) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.