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Finding the Third Proportional to 192,109 and 308,667.50

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Solution

The third proportional to 192,109 and 308,667.50 is: 495,945.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    192,109 : 308,667.50 = 308,667.50 : x
  2. Step 2: Convert to fraction form
    192,109/308,667.50 = 308,667.50/x
  3. Step 3: Cross multiply
    192,109x = 308,667.50 × 308,667.50
  4. Step 4: Simplify right side
    192,109x = 95,275,625,556.25
  5. Step 5: Solve for x
    x = 95,275,625,556.25/192,109
  6. Step 6: Final answer
    x = 495,945.66

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These problems maintain the same ratio (1.61) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.