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Finding the Third Proportional to 188,002 and 391,497

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Solution

The third proportional to 188,002 and 391,497 is: 815,256.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    188,002 : 391,497 = 391,497 : x
  2. Step 2: Convert to fraction form
    188,002/391,497 = 391,497/x
  3. Step 3: Cross multiply
    188,002x = 391,497 × 391,497
  4. Step 4: Simplify right side
    188,002x = 153,269,901,009
  5. Step 5: Solve for x
    x = 153,269,901,009/188,002
  6. Step 6: Final answer
    x = 815,256.76

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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.