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Finding the Third Proportional to 196,092 and 276,138

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Solution

The third proportional to 196,092 and 276,138 is: 388,859.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    196,092 : 276,138 = 276,138 : x
  2. Step 2: Convert to fraction form
    196,092/276,138 = 276,138/x
  3. Step 3: Cross multiply
    196,092x = 276,138 × 276,138
  4. Step 4: Simplify right side
    196,092x = 76,252,195,044
  5. Step 5: Solve for x
    x = 76,252,195,044/196,092
  6. Step 6: Final answer
    x = 388,859.29

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Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.