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Finding the Third Proportional to 169,001 and 367,198

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Solution

The third proportional to 169,001 and 367,198 is: 797,831.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    169,001 : 367,198 = 367,198 : x
  2. Step 2: Convert to fraction form
    169,001/367,198 = 367,198/x
  3. Step 3: Cross multiply
    169,001x = 367,198 × 367,198
  4. Step 4: Simplify right side
    169,001x = 134,834,371,204
  5. Step 5: Solve for x
    x = 134,834,371,204/169,001
  6. Step 6: Final answer
    x = 797,831.80

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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.