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Finding the Third Proportional to 86,287 and 184,569

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Solution

The third proportional to 86,287 and 184,569 is: 394,795.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    86,287 : 184,569 = 184,569 : x
  2. Step 2: Convert to fraction form
    86,287/184,569 = 184,569/x
  3. Step 3: Cross multiply
    86,287x = 184,569 × 184,569
  4. Step 4: Simplify right side
    86,287x = 34,065,715,761
  5. Step 5: Solve for x
    x = 34,065,715,761/86,287
  6. Step 6: Final answer
    x = 394,795.46

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