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Finding the Third Proportional to 183,794 and 379,084

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Solution

The third proportional to 183,794 and 379,084 is: 781,879.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    183,794 : 379,084 = 379,084 : x
  2. Step 2: Convert to fraction form
    183,794/379,084 = 379,084/x
  3. Step 3: Cross multiply
    183,794x = 379,084 × 379,084
  4. Step 4: Simplify right side
    183,794x = 143,704,679,056
  5. Step 5: Solve for x
    x = 143,704,679,056/183,794
  6. Step 6: Final answer
    x = 781,879.06

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Why These Related Problems?

These problems maintain the same ratio (2.06) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.