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Finding the Third Proportional to 168,162 and 369,084

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Solution

The third proportional to 168,162 and 369,084 is: 810,070.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    168,162 : 369,084 = 369,084 : x
  2. Step 2: Convert to fraction form
    168,162/369,084 = 369,084/x
  3. Step 3: Cross multiply
    168,162x = 369,084 × 369,084
  4. Step 4: Simplify right side
    168,162x = 136,222,999,056
  5. Step 5: Solve for x
    x = 136,222,999,056/168,162
  6. Step 6: Final answer
    x = 810,070.05

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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.