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Finding the Third Proportional to 182,059 and 396,072

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Solution

The third proportional to 182,059 and 396,072 is: 861,660.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    182,059 : 396,072 = 396,072 : x
  2. Step 2: Convert to fraction form
    182,059/396,072 = 396,072/x
  3. Step 3: Cross multiply
    182,059x = 396,072 × 396,072
  4. Step 4: Simplify right side
    182,059x = 156,873,029,184
  5. Step 5: Solve for x
    x = 156,873,029,184/182,059
  6. Step 6: Final answer
    x = 861,660.39

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.