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Finding the Third Proportional to 188,055 and 391,662

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Solution

The third proportional to 188,055 and 391,662 is: 815,714.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    188,055 : 391,662 = 391,662 : x
  2. Step 2: Convert to fraction form
    188,055/391,662 = 391,662/x
  3. Step 3: Cross multiply
    188,055x = 391,662 × 391,662
  4. Step 4: Simplify right side
    188,055x = 153,399,122,244
  5. Step 5: Solve for x
    x = 153,399,122,244/188,055
  6. Step 6: Final answer
    x = 815,714.14

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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.