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Finding the Third Proportional to 86,449 and 186,233

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Solution

The third proportional to 86,449 and 186,233 is: 401,192.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    86,449 : 186,233 = 186,233 : x
  2. Step 2: Convert to fraction form
    86,449/186,233 = 186,233/x
  3. Step 3: Cross multiply
    86,449x = 186,233 × 186,233
  4. Step 4: Simplify right side
    86,449x = 34,682,730,289
  5. Step 5: Solve for x
    x = 34,682,730,289/86,449
  6. Step 6: Final answer
    x = 401,192.96

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.