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Finding the Third Proportional to 184,857 and 378,456

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Solution

The third proportional to 184,857 and 378,456 is: 774,809.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    184,857 : 378,456 = 378,456 : x
  2. Step 2: Convert to fraction form
    184,857/378,456 = 378,456/x
  3. Step 3: Cross multiply
    184,857x = 378,456 × 378,456
  4. Step 4: Simplify right side
    184,857x = 143,228,943,936
  5. Step 5: Solve for x
    x = 143,228,943,936/184,857
  6. Step 6: Final answer
    x = 774,809.41

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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.