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Finding the Third Proportional to 168,093 and 364,188

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Solution

The third proportional to 168,093 and 364,188 is: 789,044.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    168,093 : 364,188 = 364,188 : x
  2. Step 2: Convert to fraction form
    168,093/364,188 = 364,188/x
  3. Step 3: Cross multiply
    168,093x = 364,188 × 364,188
  4. Step 4: Simplify right side
    168,093x = 132,632,899,344
  5. Step 5: Solve for x
    x = 132,632,899,344/168,093
  6. Step 6: Final answer
    x = 789,044.75

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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.