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Finding the Third Proportional to 189,059 and 283,589

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Solution

The third proportional to 189,059 and 283,589 is: 425,384.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    189,059 : 283,589 = 283,589 : x
  2. Step 2: Convert to fraction form
    189,059/283,589 = 283,589/x
  3. Step 3: Cross multiply
    189,059x = 283,589 × 283,589
  4. Step 4: Simplify right side
    189,059x = 80,422,720,921
  5. Step 5: Solve for x
    x = 80,422,720,921/189,059
  6. Step 6: Final answer
    x = 425,384.25

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Why These Related Problems?

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