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Finding the Third Proportional to 86,806 and 188,378

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Solution

The third proportional to 86,806 and 188,378 is: 408,799.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    86,806 : 188,378 = 188,378 : x
  2. Step 2: Convert to fraction form
    86,806/188,378 = 188,378/x
  3. Step 3: Cross multiply
    86,806x = 188,378 × 188,378
  4. Step 4: Simplify right side
    86,806x = 35,486,270,884
  5. Step 5: Solve for x
    x = 35,486,270,884/86,806
  6. Step 6: Final answer
    x = 408,799.75

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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.