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Finding the Third Proportional to 185,968 and 381,824

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Solution

The third proportional to 185,968 and 381,824 is: 783,949.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    185,968 : 381,824 = 381,824 : x
  2. Step 2: Convert to fraction form
    185,968/381,824 = 381,824/x
  3. Step 3: Cross multiply
    185,968x = 381,824 × 381,824
  4. Step 4: Simplify right side
    185,968x = 145,789,566,976
  5. Step 5: Solve for x
    x = 145,789,566,976/185,968
  6. Step 6: Final answer
    x = 783,949.75

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Why These Related Problems?

These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.