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Finding the Third Proportional to 176,868 and 381,744

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Solution

The third proportional to 176,868 and 381,744 is: 823,939.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    176,868 : 381,744 = 381,744 : x
  2. Step 2: Convert to fraction form
    176,868/381,744 = 381,744/x
  3. Step 3: Cross multiply
    176,868x = 381,744 × 381,744
  4. Step 4: Simplify right side
    176,868x = 145,728,481,536
  5. Step 5: Solve for x
    x = 145,728,481,536/176,868
  6. Step 6: Final answer
    x = 823,939.22

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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.