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Finding the Third Proportional to 322.88 and 365.25

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Solution

The third proportional to 322.88 and 365.25 is: 413.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    322.88 : 365.25 = 365.25 : x
  2. Step 2: Convert to fraction form
    322.88/365.25 = 365.25/x
  3. Step 3: Cross multiply
    322.88x = 365.25 × 365.25
  4. Step 4: Simplify right side
    322.88x = 133,407.56
  5. Step 5: Solve for x
    x = 133,407.56/322.88
  6. Step 6: Final answer
    x = 413.19

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Why These Related Problems?

These problems maintain the same ratio (1.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.