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Finding the Third Proportional to 189,680 and 284,034

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Solution

The third proportional to 189,680 and 284,034 is: 425,323.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    189,680 : 284,034 = 284,034 : x
  2. Step 2: Convert to fraction form
    189,680/284,034 = 284,034/x
  3. Step 3: Cross multiply
    189,680x = 284,034 × 284,034
  4. Step 4: Simplify right side
    189,680x = 80,675,313,156
  5. Step 5: Solve for x
    x = 80,675,313,156/189,680
  6. Step 6: Final answer
    x = 425,323.25

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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.