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Finding the Third Proportional to 171,882 and 369,162

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Solution

The third proportional to 171,882 and 369,162 is: 792,872.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    171,882 : 369,162 = 369,162 : x
  2. Step 2: Convert to fraction form
    171,882/369,162 = 369,162/x
  3. Step 3: Cross multiply
    171,882x = 369,162 × 369,162
  4. Step 4: Simplify right side
    171,882x = 136,280,582,244
  5. Step 5: Solve for x
    x = 136,280,582,244/171,882
  6. Step 6: Final answer
    x = 792,872.91

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.