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Finding the Third Proportional to 326.25 and 471.66

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Solution

The third proportional to 326.25 and 471.66 is: 681.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    326.25 : 471.66 = 471.66 : x
  2. Step 2: Convert to fraction form
    326.25/471.66 = 471.66/x
  3. Step 3: Cross multiply
    326.25x = 471.66 × 471.66
  4. Step 4: Simplify right side
    326.25x = 222,459.62
  5. Step 5: Solve for x
    x = 222,459.62/326.25
  6. Step 6: Final answer
    x = 681.87

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Why These Related Problems?

These problems maintain the same ratio (1.45) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.