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Finding the Third Proportional to 172,067 and 377,179

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Solution

The third proportional to 172,067 and 377,179 is: 826,794.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    172,067 : 377,179 = 377,179 : x
  2. Step 2: Convert to fraction form
    172,067/377,179 = 377,179/x
  3. Step 3: Cross multiply
    172,067x = 377,179 × 377,179
  4. Step 4: Simplify right side
    172,067x = 142,263,998,041
  5. Step 5: Solve for x
    x = 142,263,998,041/172,067
  6. Step 6: Final answer
    x = 826,794.20

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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.