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Finding the Third Proportional to 188,204 and 391,896

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Solution

The third proportional to 188,204 and 391,896 is: 816,042.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    188,204 : 391,896 = 391,896 : x
  2. Step 2: Convert to fraction form
    188,204/391,896 = 391,896/x
  3. Step 3: Cross multiply
    188,204x = 391,896 × 391,896
  4. Step 4: Simplify right side
    188,204x = 153,582,474,816
  5. Step 5: Solve for x
    x = 153,582,474,816/188,204
  6. Step 6: Final answer
    x = 816,042.56

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.