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Finding the Third Proportional to 168,802 and 369,812

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Solution

The third proportional to 168,802 and 369,812 is: 810,185.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    168,802 : 369,812 = 369,812 : x
  2. Step 2: Convert to fraction form
    168,802/369,812 = 369,812/x
  3. Step 3: Cross multiply
    168,802x = 369,812 × 369,812
  4. Step 4: Simplify right side
    168,802x = 136,760,915,344
  5. Step 5: Solve for x
    x = 136,760,915,344/168,802
  6. Step 6: Final answer
    x = 810,185.40

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.