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Finding the Third Proportional to 181,870 and 399,836

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Solution

The third proportional to 181,870 and 399,836 is: 879,028.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    181,870 : 399,836 = 399,836 : x
  2. Step 2: Convert to fraction form
    181,870/399,836 = 399,836/x
  3. Step 3: Cross multiply
    181,870x = 399,836 × 399,836
  4. Step 4: Simplify right side
    181,870x = 159,868,826,896
  5. Step 5: Solve for x
    x = 159,868,826,896/181,870
  6. Step 6: Final answer
    x = 879,028.02

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These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.