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Finding the Third Proportional to 192,110 and 308,667

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Solution

The third proportional to 192,110 and 308,667 is: 495,941.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    192,110 : 308,667 = 308,667 : x
  2. Step 2: Convert to fraction form
    192,110/308,667 = 308,667/x
  3. Step 3: Cross multiply
    192,110x = 308,667 × 308,667
  4. Step 4: Simplify right side
    192,110x = 95,275,316,889
  5. Step 5: Solve for x
    x = 95,275,316,889/192,110
  6. Step 6: Final answer
    x = 495,941.48

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Why These Related Problems?

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