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Finding the Third Proportional to 299.25 and 326.25

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Solution

The third proportional to 299.25 and 326.25 is: 355.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    299.25 : 326.25 = 326.25 : x
  2. Step 2: Convert to fraction form
    299.25/326.25 = 326.25/x
  3. Step 3: Cross multiply
    299.25x = 326.25 × 326.25
  4. Step 4: Simplify right side
    299.25x = 106,439.06
  5. Step 5: Solve for x
    x = 106,439.06/299.25
  6. Step 6: Final answer
    x = 355.69

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Why These Related Problems?

These problems maintain the same ratio (1.09) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.