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Finding the Third Proportional to 86,444 and 184,874

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Solution

The third proportional to 86,444 and 184,874 is: 395,381.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    86,444 : 184,874 = 184,874 : x
  2. Step 2: Convert to fraction form
    86,444/184,874 = 184,874/x
  3. Step 3: Cross multiply
    86,444x = 184,874 × 184,874
  4. Step 4: Simplify right side
    86,444x = 34,178,395,876
  5. Step 5: Solve for x
    x = 34,178,395,876/86,444
  6. Step 6: Final answer
    x = 395,381.93

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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.