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Finding the Third Proportional to 180,794 and 391,694

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Solution

The third proportional to 180,794 and 391,694 is: 848,613.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    180,794 : 391,694 = 391,694 : x
  2. Step 2: Convert to fraction form
    180,794/391,694 = 391,694/x
  3. Step 3: Cross multiply
    180,794x = 391,694 × 391,694
  4. Step 4: Simplify right side
    180,794x = 153,424,189,636
  5. Step 5: Solve for x
    x = 153,424,189,636/180,794
  6. Step 6: Final answer
    x = 848,613.28

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.