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Finding the Third Proportional to 86,186 and 182,806

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Solution

The third proportional to 86,186 and 182,806 is: 387,743.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    86,186 : 182,806 = 182,806 : x
  2. Step 2: Convert to fraction form
    86,186/182,806 = 182,806/x
  3. Step 3: Cross multiply
    86,186x = 182,806 × 182,806
  4. Step 4: Simplify right side
    86,186x = 33,418,033,636
  5. Step 5: Solve for x
    x = 33,418,033,636/86,186
  6. Step 6: Final answer
    x = 387,743.18

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.