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Finding the Third Proportional to 168,350 and 368,372

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Solution

The third proportional to 168,350 and 368,372 is: 806,046.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    168,350 : 368,372 = 368,372 : x
  2. Step 2: Convert to fraction form
    168,350/368,372 = 368,372/x
  3. Step 3: Cross multiply
    168,350x = 368,372 × 368,372
  4. Step 4: Simplify right side
    168,350x = 135,697,930,384
  5. Step 5: Solve for x
    x = 135,697,930,384/168,350
  6. Step 6: Final answer
    x = 806,046.51

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.