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Finding the Third Proportional to 87,450 and 188,280

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Solution

The third proportional to 87,450 and 188,280 is: 405,367.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    87,450 : 188,280 = 188,280 : x
  2. Step 2: Convert to fraction form
    87,450/188,280 = 188,280/x
  3. Step 3: Cross multiply
    87,450x = 188,280 × 188,280
  4. Step 4: Simplify right side
    87,450x = 35,449,358,400
  5. Step 5: Solve for x
    x = 35,449,358,400/87,450
  6. Step 6: Final answer
    x = 405,367.16

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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.