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Finding the Third Proportional to 165,831 and 389,802

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Solution

The third proportional to 165,831 and 389,802 is: 916,267.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    165,831 : 389,802 = 389,802 : x
  2. Step 2: Convert to fraction form
    165,831/389,802 = 389,802/x
  3. Step 3: Cross multiply
    165,831x = 389,802 × 389,802
  4. Step 4: Simplify right side
    165,831x = 151,945,599,204
  5. Step 5: Solve for x
    x = 151,945,599,204/165,831
  6. Step 6: Final answer
    x = 916,267.76

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These problems maintain the same ratio (2.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.