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Finding the Third Proportional to 204,796.50 and 320,571.25

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Solution

The third proportional to 204,796.50 and 320,571.25 is: 501,795.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    204,796.50 : 320,571.25 = 320,571.25 : x
  2. Step 2: Convert to fraction form
    204,796.50/320,571.25 = 320,571.25/x
  3. Step 3: Cross multiply
    204,796.50x = 320,571.25 × 320,571.25
  4. Step 4: Simplify right side
    204,796.50x = 102,765,926,326.56
  5. Step 5: Solve for x
    x = 102,765,926,326.56/204,796.50
  6. Step 6: Final answer
    x = 501,795.33

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.