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Finding the Third Proportional to 170,668 and 367,496

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Solution

The third proportional to 170,668 and 367,496 is: 791,321.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    170,668 : 367,496 = 367,496 : x
  2. Step 2: Convert to fraction form
    170,668/367,496 = 367,496/x
  3. Step 3: Cross multiply
    170,668x = 367,496 × 367,496
  4. Step 4: Simplify right side
    170,668x = 135,053,310,016
  5. Step 5: Solve for x
    x = 135,053,310,016/170,668
  6. Step 6: Final answer
    x = 791,321.81

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.