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Finding the Third Proportional to 86,684 and 180,238

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Solution

The third proportional to 86,684 and 180,238 is: 374,760.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    86,684 : 180,238 = 180,238 : x
  2. Step 2: Convert to fraction form
    86,684/180,238 = 180,238/x
  3. Step 3: Cross multiply
    86,684x = 180,238 × 180,238
  4. Step 4: Simplify right side
    86,684x = 32,485,736,644
  5. Step 5: Solve for x
    x = 32,485,736,644/86,684
  6. Step 6: Final answer
    x = 374,760.47

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.