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Finding the Third Proportional to 206,456 and 305,846.50

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Solution

The third proportional to 206,456 and 305,846.50 is: 453,084.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    206,456 : 305,846.50 = 305,846.50 : x
  2. Step 2: Convert to fraction form
    206,456/305,846.50 = 305,846.50/x
  3. Step 3: Cross multiply
    206,456x = 305,846.50 × 305,846.50
  4. Step 4: Simplify right side
    206,456x = 93,542,081,562.25
  5. Step 5: Solve for x
    x = 93,542,081,562.25/206,456
  6. Step 6: Final answer
    x = 453,084.83

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Why These Related Problems?

These problems maintain the same ratio (1.48) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.