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Finding the Third Proportional to 188,554 and 396,500

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Solution

The third proportional to 188,554 and 396,500 is: 833,778.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    188,554 : 396,500 = 396,500 : x
  2. Step 2: Convert to fraction form
    188,554/396,500 = 396,500/x
  3. Step 3: Cross multiply
    188,554x = 396,500 × 396,500
  4. Step 4: Simplify right side
    188,554x = 157,212,250,000
  5. Step 5: Solve for x
    x = 157,212,250,000/188,554
  6. Step 6: Final answer
    x = 833,778.39

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Why These Related Problems?

These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.