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Finding the Third Proportional to 87,447 and 188,274

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Solution

The third proportional to 87,447 and 188,274 is: 405,355.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    87,447 : 188,274 = 188,274 : x
  2. Step 2: Convert to fraction form
    87,447/188,274 = 188,274/x
  3. Step 3: Cross multiply
    87,447x = 188,274 × 188,274
  4. Step 4: Simplify right side
    87,447x = 35,447,099,076
  5. Step 5: Solve for x
    x = 35,447,099,076/87,447
  6. Step 6: Final answer
    x = 405,355.23

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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.