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Finding the Third Proportional to 192,634.50 and 255,605.25

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Solution

The third proportional to 192,634.50 and 255,605.25 is: 339,160.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    192,634.50 : 255,605.25 = 255,605.25 : x
  2. Step 2: Convert to fraction form
    192,634.50/255,605.25 = 255,605.25/x
  3. Step 3: Cross multiply
    192,634.50x = 255,605.25 × 255,605.25
  4. Step 4: Simplify right side
    192,634.50x = 65,334,043,827.56
  5. Step 5: Solve for x
    x = 65,334,043,827.56/192,634.50
  6. Step 6: Final answer
    x = 339,160.66

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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.