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Finding the Third Proportional to 179,789.63 and 381,747.94

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Solution

The third proportional to 179,789.63 and 381,747.94 is: 810,566.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    179,789.63 : 381,747.94 = 381,747.94 : x
  2. Step 2: Convert to fraction form
    179,789.63/381,747.94 = 381,747.94/x
  3. Step 3: Cross multiply
    179,789.63x = 381,747.94 × 381,747.94
  4. Step 4: Simplify right side
    179,789.63x = 145,731,487,785.50
  5. Step 5: Solve for x
    x = 145,731,487,785.50/179,789.63
  6. Step 6: Final answer
    x = 810,566.73

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.