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Finding the Third Proportional to 192,131 and 308,696

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Solution

The third proportional to 192,131 and 308,696 is: 495,980.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    192,131 : 308,696 = 308,696 : x
  2. Step 2: Convert to fraction form
    192,131/308,696 = 308,696/x
  3. Step 3: Cross multiply
    192,131x = 308,696 × 308,696
  4. Step 4: Simplify right side
    192,131x = 95,293,220,416
  5. Step 5: Solve for x
    x = 95,293,220,416/192,131
  6. Step 6: Final answer
    x = 495,980.45

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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.