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Finding the Third Proportional to 206,786 and 311,907

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Solution

The third proportional to 206,786 and 311,907 is: 470,466.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    206,786 : 311,907 = 311,907 : x
  2. Step 2: Convert to fraction form
    206,786/311,907 = 311,907/x
  3. Step 3: Cross multiply
    206,786x = 311,907 × 311,907
  4. Step 4: Simplify right side
    206,786x = 97,285,976,649
  5. Step 5: Solve for x
    x = 97,285,976,649/206,786
  6. Step 6: Final answer
    x = 470,466.94

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.