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Finding the Third Proportional to 171,676 and 369,848

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Solution

The third proportional to 171,676 and 369,848 is: 796,777.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    171,676 : 369,848 = 369,848 : x
  2. Step 2: Convert to fraction form
    171,676/369,848 = 369,848/x
  3. Step 3: Cross multiply
    171,676x = 369,848 × 369,848
  4. Step 4: Simplify right side
    171,676x = 136,787,543,104
  5. Step 5: Solve for x
    x = 136,787,543,104/171,676
  6. Step 6: Final answer
    x = 796,777.32

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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.