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Finding the Third Proportional to 168,992 and 367,180

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Solution

The third proportional to 168,992 and 367,180 is: 797,796.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    168,992 : 367,180 = 367,180 : x
  2. Step 2: Convert to fraction form
    168,992/367,180 = 367,180/x
  3. Step 3: Cross multiply
    168,992x = 367,180 × 367,180
  4. Step 4: Simplify right side
    168,992x = 134,821,152,400
  5. Step 5: Solve for x
    x = 134,821,152,400/168,992
  6. Step 6: Final answer
    x = 797,796.06

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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.