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Finding the Third Proportional to 84,257.25 and 183,393

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Solution

The third proportional to 84,257.25 and 183,393 is: 399,170.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    84,257.25 : 183,393 = 183,393 : x
  2. Step 2: Convert to fraction form
    84,257.25/183,393 = 183,393/x
  3. Step 3: Cross multiply
    84,257.25x = 183,393 × 183,393
  4. Step 4: Simplify right side
    84,257.25x = 33,632,992,449
  5. Step 5: Solve for x
    x = 33,632,992,449/84,257.25
  6. Step 6: Final answer
    x = 399,170.31

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.