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Finding the Third Proportional to 189,228 and 283,870

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Solution

The third proportional to 189,228 and 283,870 is: 425,847.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    189,228 : 283,870 = 283,870 : x
  2. Step 2: Convert to fraction form
    189,228/283,870 = 283,870/x
  3. Step 3: Cross multiply
    189,228x = 283,870 × 283,870
  4. Step 4: Simplify right side
    189,228x = 80,582,176,900
  5. Step 5: Solve for x
    x = 80,582,176,900/189,228
  6. Step 6: Final answer
    x = 425,847.00

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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.