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Finding the Third Proportional to 86,869 and 188,398

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Solution

The third proportional to 86,869 and 188,398 is: 408,590.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    86,869 : 188,398 = 188,398 : x
  2. Step 2: Convert to fraction form
    86,869/188,398 = 188,398/x
  3. Step 3: Cross multiply
    86,869x = 188,398 × 188,398
  4. Step 4: Simplify right side
    86,869x = 35,493,806,404
  5. Step 5: Solve for x
    x = 35,493,806,404/86,869
  6. Step 6: Final answer
    x = 408,590.02

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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.