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Finding the Third Proportional to 84,886 and 182,918

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Solution

The third proportional to 84,886 and 182,918 is: 394,163.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    84,886 : 182,918 = 182,918 : x
  2. Step 2: Convert to fraction form
    84,886/182,918 = 182,918/x
  3. Step 3: Cross multiply
    84,886x = 182,918 × 182,918
  4. Step 4: Simplify right side
    84,886x = 33,458,994,724
  5. Step 5: Solve for x
    x = 33,458,994,724/84,886
  6. Step 6: Final answer
    x = 394,163.88

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.