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Finding the Third Proportional to 173,192 and 377,734

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Solution

The third proportional to 173,192 and 377,734 is: 823,842.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    173,192 : 377,734 = 377,734 : x
  2. Step 2: Convert to fraction form
    173,192/377,734 = 377,734/x
  3. Step 3: Cross multiply
    173,192x = 377,734 × 377,734
  4. Step 4: Simplify right side
    173,192x = 142,682,974,756
  5. Step 5: Solve for x
    x = 142,682,974,756/173,192
  6. Step 6: Final answer
    x = 823,842.76

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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.