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Finding the Third Proportional to 181,634 and 395,964

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Solution

The third proportional to 181,634 and 395,964 is: 863,205.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    181,634 : 395,964 = 395,964 : x
  2. Step 2: Convert to fraction form
    181,634/395,964 = 395,964/x
  3. Step 3: Cross multiply
    181,634x = 395,964 × 395,964
  4. Step 4: Simplify right side
    181,634x = 156,787,489,296
  5. Step 5: Solve for x
    x = 156,787,489,296/181,634
  6. Step 6: Final answer
    x = 863,205.62

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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.