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Finding the Third Proportional to 86,439 and 184,866

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Solution

The third proportional to 86,439 and 184,866 is: 395,370.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    86,439 : 184,866 = 184,866 : x
  2. Step 2: Convert to fraction form
    86,439/184,866 = 184,866/x
  3. Step 3: Cross multiply
    86,439x = 184,866 × 184,866
  4. Step 4: Simplify right side
    86,439x = 34,175,437,956
  5. Step 5: Solve for x
    x = 34,175,437,956/86,439
  6. Step 6: Final answer
    x = 395,370.58

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.