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Finding the Third Proportional to 192,120 and 308,682

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Solution

The third proportional to 192,120 and 308,682 is: 495,963.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    192,120 : 308,682 = 308,682 : x
  2. Step 2: Convert to fraction form
    192,120/308,682 = 308,682/x
  3. Step 3: Cross multiply
    192,120x = 308,682 × 308,682
  4. Step 4: Simplify right side
    192,120x = 95,284,577,124
  5. Step 5: Solve for x
    x = 95,284,577,124/192,120
  6. Step 6: Final answer
    x = 495,963.86

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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.