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Finding the Third Proportional to 173,899 and 366,477

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Solution

The third proportional to 173,899 and 366,477 is: 772,318.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    173,899 : 366,477 = 366,477 : x
  2. Step 2: Convert to fraction form
    173,899/366,477 = 366,477/x
  3. Step 3: Cross multiply
    173,899x = 366,477 × 366,477
  4. Step 4: Simplify right side
    173,899x = 134,305,391,529
  5. Step 5: Solve for x
    x = 134,305,391,529/173,899
  6. Step 6: Final answer
    x = 772,318.37

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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.