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Finding the Third Proportional to 172,998 and 372,186

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Solution

The third proportional to 172,998 and 372,186 is: 800,716.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    172,998 : 372,186 = 372,186 : x
  2. Step 2: Convert to fraction form
    172,998/372,186 = 372,186/x
  3. Step 3: Cross multiply
    172,998x = 372,186 × 372,186
  4. Step 4: Simplify right side
    172,998x = 138,522,418,596
  5. Step 5: Solve for x
    x = 138,522,418,596/172,998
  6. Step 6: Final answer
    x = 800,716.88

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.