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Finding the Third Proportional to 171,874 and 370,079

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Solution

The third proportional to 171,874 and 370,079 is: 796,853.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    171,874 : 370,079 = 370,079 : x
  2. Step 2: Convert to fraction form
    171,874/370,079 = 370,079/x
  3. Step 3: Cross multiply
    171,874x = 370,079 × 370,079
  4. Step 4: Simplify right side
    171,874x = 136,958,466,241
  5. Step 5: Solve for x
    x = 136,958,466,241/171,874
  6. Step 6: Final answer
    x = 796,853.89

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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.