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Finding the Third Proportional to 168,959 and 365,801

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Solution

The third proportional to 168,959 and 365,801 is: 791,969.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    168,959 : 365,801 = 365,801 : x
  2. Step 2: Convert to fraction form
    168,959/365,801 = 365,801/x
  3. Step 3: Cross multiply
    168,959x = 365,801 × 365,801
  4. Step 4: Simplify right side
    168,959x = 133,810,371,601
  5. Step 5: Solve for x
    x = 133,810,371,601/168,959
  6. Step 6: Final answer
    x = 791,969.48

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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.