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Finding the Third Proportional to 87,016 and 184,328

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Solution

The third proportional to 87,016 and 184,328 is: 390,466.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    87,016 : 184,328 = 184,328 : x
  2. Step 2: Convert to fraction form
    87,016/184,328 = 184,328/x
  3. Step 3: Cross multiply
    87,016x = 184,328 × 184,328
  4. Step 4: Simplify right side
    87,016x = 33,976,811,584
  5. Step 5: Solve for x
    x = 33,976,811,584/87,016
  6. Step 6: Final answer
    x = 390,466.25

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.