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Finding the Third Proportional to 206,392.50 and 315,744.19

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Solution

The third proportional to 206,392.50 and 315,744.19 is: 483,033.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    206,392.50 : 315,744.19 = 315,744.19 : x
  2. Step 2: Convert to fraction form
    206,392.50/315,744.19 = 315,744.19/x
  3. Step 3: Cross multiply
    206,392.50x = 315,744.19 × 315,744.19
  4. Step 4: Simplify right side
    206,392.50x = 99,694,391,940.04
  5. Step 5: Solve for x
    x = 99,694,391,940.04/206,392.50
  6. Step 6: Final answer
    x = 483,033.02

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.