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Finding the Third Proportional to 189,198 and 284,592

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Solution

The third proportional to 189,198 and 284,592 is: 428,083.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    189,198 : 284,592 = 284,592 : x
  2. Step 2: Convert to fraction form
    189,198/284,592 = 284,592/x
  3. Step 3: Cross multiply
    189,198x = 284,592 × 284,592
  4. Step 4: Simplify right side
    189,198x = 80,992,606,464
  5. Step 5: Solve for x
    x = 80,992,606,464/189,198
  6. Step 6: Final answer
    x = 428,083.84

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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.