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Finding the Third Proportional to 181,953 and 394,986

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Solution

The third proportional to 181,953 and 394,986 is: 857,440.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    181,953 : 394,986 = 394,986 : x
  2. Step 2: Convert to fraction form
    181,953/394,986 = 394,986/x
  3. Step 3: Cross multiply
    181,953x = 394,986 × 394,986
  4. Step 4: Simplify right side
    181,953x = 156,013,940,196
  5. Step 5: Solve for x
    x = 156,013,940,196/181,953
  6. Step 6: Final answer
    x = 857,440.88

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.