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Finding the Third Proportional to 192,570.75 and 255,579.75

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Solution

The third proportional to 192,570.75 and 255,579.75 is: 339,205.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    192,570.75 : 255,579.75 = 255,579.75 : x
  2. Step 2: Convert to fraction form
    192,570.75/255,579.75 = 255,579.75/x
  3. Step 3: Cross multiply
    192,570.75x = 255,579.75 × 255,579.75
  4. Step 4: Simplify right side
    192,570.75x = 65,321,008,610.06
  5. Step 5: Solve for x
    x = 65,321,008,610.06/192,570.75
  6. Step 6: Final answer
    x = 339,205.25

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Why These Related Problems?

These problems maintain the same ratio (1.33) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.