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Finding the Third Proportional to 173,834 and 366,349

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Solution

The third proportional to 173,834 and 366,349 is: 772,067.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    173,834 : 366,349 = 366,349 : x
  2. Step 2: Convert to fraction form
    173,834/366,349 = 366,349/x
  3. Step 3: Cross multiply
    173,834x = 366,349 × 366,349
  4. Step 4: Simplify right side
    173,834x = 134,211,589,801
  5. Step 5: Solve for x
    x = 134,211,589,801/173,834
  6. Step 6: Final answer
    x = 772,067.55

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Why These Related Problems?

These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.