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Finding the Third Proportional to 168,869 and 367,006

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Solution

The third proportional to 168,869 and 367,006 is: 797,620.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    168,869 : 367,006 = 367,006 : x
  2. Step 2: Convert to fraction form
    168,869/367,006 = 367,006/x
  3. Step 3: Cross multiply
    168,869x = 367,006 × 367,006
  4. Step 4: Simplify right side
    168,869x = 134,693,404,036
  5. Step 5: Solve for x
    x = 134,693,404,036/168,869
  6. Step 6: Final answer
    x = 797,620.66

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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.