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Finding the Third Proportional to 209.25 and 393.19

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Solution

The third proportional to 209.25 and 393.19 is: 738.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    209.25 : 393.19 = 393.19 : x
  2. Step 2: Convert to fraction form
    209.25/393.19 = 393.19/x
  3. Step 3: Cross multiply
    209.25x = 393.19 × 393.19
  4. Step 4: Simplify right side
    209.25x = 154,596.41
  5. Step 5: Solve for x
    x = 154,596.41/209.25
  6. Step 6: Final answer
    x = 738.81

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Why These Related Problems?

These problems maintain the same ratio (1.88) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.