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Finding the Third Proportional to 182,059 and 372,866

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Solution

The third proportional to 182,059 and 372,866 is: 763,648.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    182,059 : 372,866 = 372,866 : x
  2. Step 2: Convert to fraction form
    182,059/372,866 = 372,866/x
  3. Step 3: Cross multiply
    182,059x = 372,866 × 372,866
  4. Step 4: Simplify right side
    182,059x = 139,029,053,956
  5. Step 5: Solve for x
    x = 139,029,053,956/182,059
  6. Step 6: Final answer
    x = 763,648.34

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Why These Related Problems?

These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.