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Finding the Third Proportional to 168,099 and 364,197

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Solution

The third proportional to 168,099 and 364,197 is: 789,055.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    168,099 : 364,197 = 364,197 : x
  2. Step 2: Convert to fraction form
    168,099/364,197 = 364,197/x
  3. Step 3: Cross multiply
    168,099x = 364,197 × 364,197
  4. Step 4: Simplify right side
    168,099x = 132,639,454,809
  5. Step 5: Solve for x
    x = 132,639,454,809/168,099
  6. Step 6: Final answer
    x = 789,055.59

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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.