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Finding the Third Proportional to 181,026 and 394,164

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Solution

The third proportional to 181,026 and 394,164 is: 858,248.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    181,026 : 394,164 = 394,164 : x
  2. Step 2: Convert to fraction form
    181,026/394,164 = 394,164/x
  3. Step 3: Cross multiply
    181,026x = 394,164 × 394,164
  4. Step 4: Simplify right side
    181,026x = 155,365,258,896
  5. Step 5: Solve for x
    x = 155,365,258,896/181,026
  6. Step 6: Final answer
    x = 858,248.31

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.