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Finding the Third Proportional to 206,096 and 434,330

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Solution

The third proportional to 206,096 and 434,330 is: 915,313.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    206,096 : 434,330 = 434,330 : x
  2. Step 2: Convert to fraction form
    206,096/434,330 = 434,330/x
  3. Step 3: Cross multiply
    206,096x = 434,330 × 434,330
  4. Step 4: Simplify right side
    206,096x = 188,642,548,900
  5. Step 5: Solve for x
    x = 188,642,548,900/206,096
  6. Step 6: Final answer
    x = 915,313.97

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Why These Related Problems?

These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.