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Finding the Third Proportional to 87,684 and 190,264

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Solution

The third proportional to 87,684 and 190,264 is: 412,850.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    87,684 : 190,264 = 190,264 : x
  2. Step 2: Convert to fraction form
    87,684/190,264 = 190,264/x
  3. Step 3: Cross multiply
    87,684x = 190,264 × 190,264
  4. Step 4: Simplify right side
    87,684x = 36,200,389,696
  5. Step 5: Solve for x
    x = 36,200,389,696/87,684
  6. Step 6: Final answer
    x = 412,850.57

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.