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Finding the Third Proportional to 83,364 and 192,822

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Solution

The third proportional to 83,364 and 192,822 is: 445,999.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,364 : 192,822 = 192,822 : x
  2. Step 2: Convert to fraction form
    83,364/192,822 = 192,822/x
  3. Step 3: Cross multiply
    83,364x = 192,822 × 192,822
  4. Step 4: Simplify right side
    83,364x = 37,180,323,684
  5. Step 5: Solve for x
    x = 37,180,323,684/83,364
  6. Step 6: Final answer
    x = 445,999.76

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Why These Related Problems?

These problems maintain the same ratio (2.31) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.