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Finding the Third Proportional to 173,838 and 269,027

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Solution

The third proportional to 173,838 and 269,027 is: 416,338.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    173,838 : 269,027 = 269,027 : x
  2. Step 2: Convert to fraction form
    173,838/269,027 = 269,027/x
  3. Step 3: Cross multiply
    173,838x = 269,027 × 269,027
  4. Step 4: Simplify right side
    173,838x = 72,375,526,729
  5. Step 5: Solve for x
    x = 72,375,526,729/173,838
  6. Step 6: Final answer
    x = 416,338.93

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.