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Finding the Third Proportional to 169,857 and 369,198

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Solution

The third proportional to 169,857 and 369,198 is: 802,481.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    169,857 : 369,198 = 369,198 : x
  2. Step 2: Convert to fraction form
    169,857/369,198 = 369,198/x
  3. Step 3: Cross multiply
    169,857x = 369,198 × 369,198
  4. Step 4: Simplify right side
    169,857x = 136,307,163,204
  5. Step 5: Solve for x
    x = 136,307,163,204/169,857
  6. Step 6: Final answer
    x = 802,481.87

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.