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Finding the Third Proportional to 184,866 and 378,494

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Solution

The third proportional to 184,866 and 378,494 is: 774,927.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    184,866 : 378,494 = 378,494 : x
  2. Step 2: Convert to fraction form
    184,866/378,494 = 378,494/x
  3. Step 3: Cross multiply
    184,866x = 378,494 × 378,494
  4. Step 4: Simplify right side
    184,866x = 143,257,708,036
  5. Step 5: Solve for x
    x = 143,257,708,036/184,866
  6. Step 6: Final answer
    x = 774,927.29

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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.