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Finding the Third Proportional to 326.09 and 667.17

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Solution

The third proportional to 326.09 and 667.17 is: 1,365.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    326.09 : 667.17 = 667.17 : x
  2. Step 2: Convert to fraction form
    326.09/667.17 = 667.17/x
  3. Step 3: Cross multiply
    326.09x = 667.17 × 667.17
  4. Step 4: Simplify right side
    326.09x = 445,118.31
  5. Step 5: Solve for x
    x = 445,118.31/326.09
  6. Step 6: Final answer
    x = 1,365.03

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Why These Related Problems?

These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.