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Finding the Third Proportional to 79,996 and 185,198

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Solution

The third proportional to 79,996 and 185,198 is: 428,750.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    79,996 : 185,198 = 185,198 : x
  2. Step 2: Convert to fraction form
    79,996/185,198 = 185,198/x
  3. Step 3: Cross multiply
    79,996x = 185,198 × 185,198
  4. Step 4: Simplify right side
    79,996x = 34,298,299,204
  5. Step 5: Solve for x
    x = 34,298,299,204/79,996
  6. Step 6: Final answer
    x = 428,750.18

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Why These Related Problems?

These problems maintain the same ratio (2.32) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.