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Finding the Third Proportional to 179,147 and 386,266

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Solution

The third proportional to 179,147 and 386,266 is: 832,843.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    179,147 : 386,266 = 386,266 : x
  2. Step 2: Convert to fraction form
    179,147/386,266 = 386,266/x
  3. Step 3: Cross multiply
    179,147x = 386,266 × 386,266
  4. Step 4: Simplify right side
    179,147x = 149,201,422,756
  5. Step 5: Solve for x
    x = 149,201,422,756/179,147
  6. Step 6: Final answer
    x = 832,843.55

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.