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Finding the Third Proportional to 185,869 and 395,714

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Solution

The third proportional to 185,869 and 395,714 is: 842,472.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    185,869 : 395,714 = 395,714 : x
  2. Step 2: Convert to fraction form
    185,869/395,714 = 395,714/x
  3. Step 3: Cross multiply
    185,869x = 395,714 × 395,714
  4. Step 4: Simplify right side
    185,869x = 156,589,569,796
  5. Step 5: Solve for x
    x = 156,589,569,796/185,869
  6. Step 6: Final answer
    x = 842,472.76

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.