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Finding the Third Proportional to 189,183 and 283,802

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Solution

The third proportional to 189,183 and 283,802 is: 425,744.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    189,183 : 283,802 = 283,802 : x
  2. Step 2: Convert to fraction form
    189,183/283,802 = 283,802/x
  3. Step 3: Cross multiply
    189,183x = 283,802 × 283,802
  4. Step 4: Simplify right side
    189,183x = 80,543,575,204
  5. Step 5: Solve for x
    x = 80,543,575,204/189,183
  6. Step 6: Final answer
    x = 425,744.25

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.