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Finding the Third Proportional to 87,335.25 and 188,616

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Solution

The third proportional to 87,335.25 and 188,616 is: 407,349.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    87,335.25 : 188,616 = 188,616 : x
  2. Step 2: Convert to fraction form
    87,335.25/188,616 = 188,616/x
  3. Step 3: Cross multiply
    87,335.25x = 188,616 × 188,616
  4. Step 4: Simplify right side
    87,335.25x = 35,575,995,456
  5. Step 5: Solve for x
    x = 35,575,995,456/87,335.25
  6. Step 6: Final answer
    x = 407,349.79

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.