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Finding the Third Proportional to 169,904 and 365,843

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Solution

The third proportional to 169,904 and 365,843 is: 787,745.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    169,904 : 365,843 = 365,843 : x
  2. Step 2: Convert to fraction form
    169,904/365,843 = 365,843/x
  3. Step 3: Cross multiply
    169,904x = 365,843 × 365,843
  4. Step 4: Simplify right side
    169,904x = 133,841,100,649
  5. Step 5: Solve for x
    x = 133,841,100,649/169,904
  6. Step 6: Final answer
    x = 787,745.44

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.