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Finding the Third Proportional to 87,203 and 188,344

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Solution

The third proportional to 87,203 and 188,344 is: 406,791.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    87,203 : 188,344 = 188,344 : x
  2. Step 2: Convert to fraction form
    87,203/188,344 = 188,344/x
  3. Step 3: Cross multiply
    87,203x = 188,344 × 188,344
  4. Step 4: Simplify right side
    87,203x = 35,473,462,336
  5. Step 5: Solve for x
    x = 35,473,462,336/87,203
  6. Step 6: Final answer
    x = 406,791.77

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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.