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Finding the Third Proportional to 189,224 and 283,864

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Solution

The third proportional to 189,224 and 283,864 is: 425,838.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    189,224 : 283,864 = 283,864 : x
  2. Step 2: Convert to fraction form
    189,224/283,864 = 283,864/x
  3. Step 3: Cross multiply
    189,224x = 283,864 × 283,864
  4. Step 4: Simplify right side
    189,224x = 80,578,770,496
  5. Step 5: Solve for x
    x = 80,578,770,496/189,224
  6. Step 6: Final answer
    x = 425,838.00

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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.