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Finding the Third Proportional to 179,293 and 386,249

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Solution

The third proportional to 179,293 and 386,249 is: 832,092.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    179,293 : 386,249 = 386,249 : x
  2. Step 2: Convert to fraction form
    179,293/386,249 = 386,249/x
  3. Step 3: Cross multiply
    179,293x = 386,249 × 386,249
  4. Step 4: Simplify right side
    179,293x = 149,188,290,001
  5. Step 5: Solve for x
    x = 149,188,290,001/179,293
  6. Step 6: Final answer
    x = 832,092.11

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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.