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Finding the Third Proportional to 82,190 and 179,451

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Solution

The third proportional to 82,190 and 179,451 is: 391,807.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,190 : 179,451 = 179,451 : x
  2. Step 2: Convert to fraction form
    82,190/179,451 = 179,451/x
  3. Step 3: Cross multiply
    82,190x = 179,451 × 179,451
  4. Step 4: Simplify right side
    82,190x = 32,202,661,401
  5. Step 5: Solve for x
    x = 32,202,661,401/82,190
  6. Step 6: Final answer
    x = 391,807.54

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.