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Finding the Third Proportional to 168,759 and 367,109

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Solution

The third proportional to 168,759 and 367,109 is: 798,588.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    168,759 : 367,109 = 367,109 : x
  2. Step 2: Convert to fraction form
    168,759/367,109 = 367,109/x
  3. Step 3: Cross multiply
    168,759x = 367,109 × 367,109
  4. Step 4: Simplify right side
    168,759x = 134,769,017,881
  5. Step 5: Solve for x
    x = 134,769,017,881/168,759
  6. Step 6: Final answer
    x = 798,588.63

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.