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Finding the Third Proportional to 168,349 and 374,067

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Solution

The third proportional to 168,349 and 374,067 is: 831,166.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    168,349 : 374,067 = 374,067 : x
  2. Step 2: Convert to fraction form
    168,349/374,067 = 374,067/x
  3. Step 3: Cross multiply
    168,349x = 374,067 × 374,067
  4. Step 4: Simplify right side
    168,349x = 139,926,120,489
  5. Step 5: Solve for x
    x = 139,926,120,489/168,349
  6. Step 6: Final answer
    x = 831,166.92

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Why These Related Problems?

These problems maintain the same ratio (2.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.