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Finding the Third Proportional to 106,822 and 227,942

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Solution

The third proportional to 106,822 and 227,942 is: 486,393.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    106,822 : 227,942 = 227,942 : x
  2. Step 2: Convert to fraction form
    106,822/227,942 = 227,942/x
  3. Step 3: Cross multiply
    106,822x = 227,942 × 227,942
  4. Step 4: Simplify right side
    106,822x = 51,957,555,364
  5. Step 5: Solve for x
    x = 51,957,555,364/106,822
  6. Step 6: Final answer
    x = 486,393.77

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.