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Finding the Third Proportional to 189,224 and 284,624

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Solution

The third proportional to 189,224 and 284,624 is: 428,121.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    189,224 : 284,624 = 284,624 : x
  2. Step 2: Convert to fraction form
    189,224/284,624 = 284,624/x
  3. Step 3: Cross multiply
    189,224x = 284,624 × 284,624
  4. Step 4: Simplify right side
    189,224x = 81,010,821,376
  5. Step 5: Solve for x
    x = 81,010,821,376/189,224
  6. Step 6: Final answer
    x = 428,121.28

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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.