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Finding the Third Proportional to 86,326 and 184,644

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Solution

The third proportional to 86,326 and 184,644 is: 394,937.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    86,326 : 184,644 = 184,644 : x
  2. Step 2: Convert to fraction form
    86,326/184,644 = 184,644/x
  3. Step 3: Cross multiply
    86,326x = 184,644 × 184,644
  4. Step 4: Simplify right side
    86,326x = 34,093,406,736
  5. Step 5: Solve for x
    x = 34,093,406,736/86,326
  6. Step 6: Final answer
    x = 394,937.87

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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.