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Finding the Third Proportional to 181,638 and 395,972

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Solution

The third proportional to 181,638 and 395,972 is: 863,221.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    181,638 : 395,972 = 395,972 : x
  2. Step 2: Convert to fraction form
    181,638/395,972 = 395,972/x
  3. Step 3: Cross multiply
    181,638x = 395,972 × 395,972
  4. Step 4: Simplify right side
    181,638x = 156,793,824,784
  5. Step 5: Solve for x
    x = 156,793,824,784/181,638
  6. Step 6: Final answer
    x = 863,221.49

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