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Finding the Third Proportional to 185,874 and 395,722

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Solution

The third proportional to 185,874 and 395,722 is: 842,484.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    185,874 : 395,722 = 395,722 : x
  2. Step 2: Convert to fraction form
    185,874/395,722 = 395,722/x
  3. Step 3: Cross multiply
    185,874x = 395,722 × 395,722
  4. Step 4: Simplify right side
    185,874x = 156,595,901,284
  5. Step 5: Solve for x
    x = 156,595,901,284/185,874
  6. Step 6: Final answer
    x = 842,484.16

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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.