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Finding the Third Proportional to 173,828 and 363,775

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Solution

The third proportional to 173,828 and 363,775 is: 761,282.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    173,828 : 363,775 = 363,775 : x
  2. Step 2: Convert to fraction form
    173,828/363,775 = 363,775/x
  3. Step 3: Cross multiply
    173,828x = 363,775 × 363,775
  4. Step 4: Simplify right side
    173,828x = 132,332,250,625
  5. Step 5: Solve for x
    x = 132,332,250,625/173,828
  6. Step 6: Final answer
    x = 761,282.71

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Why These Related Problems?

These problems maintain the same ratio (2.09) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.