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Finding the Third Proportional to 87,255 and 188,334

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Solution

The third proportional to 87,255 and 188,334 is: 406,506.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    87,255 : 188,334 = 188,334 : x
  2. Step 2: Convert to fraction form
    87,255/188,334 = 188,334/x
  3. Step 3: Cross multiply
    87,255x = 188,334 × 188,334
  4. Step 4: Simplify right side
    87,255x = 35,469,695,556
  5. Step 5: Solve for x
    x = 35,469,695,556/87,255
  6. Step 6: Final answer
    x = 406,506.17

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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.