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Finding the Third Proportional to 189,224 and 284,626

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Solution

The third proportional to 189,224 and 284,626 is: 428,127.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    189,224 : 284,626 = 284,626 : x
  2. Step 2: Convert to fraction form
    189,224/284,626 = 284,626/x
  3. Step 3: Cross multiply
    189,224x = 284,626 × 284,626
  4. Step 4: Simplify right side
    189,224x = 81,011,959,876
  5. Step 5: Solve for x
    x = 81,011,959,876/189,224
  6. Step 6: Final answer
    x = 428,127.30

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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.