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Finding the Third Proportional to 189,212 and 284,615

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Solution

The third proportional to 189,212 and 284,615 is: 428,121.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    189,212 : 284,615 = 284,615 : x
  2. Step 2: Convert to fraction form
    189,212/284,615 = 284,615/x
  3. Step 3: Cross multiply
    189,212x = 284,615 × 284,615
  4. Step 4: Simplify right side
    189,212x = 81,005,698,225
  5. Step 5: Solve for x
    x = 81,005,698,225/189,212
  6. Step 6: Final answer
    x = 428,121.36

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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.