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Finding the Third Proportional to 206,804.50 and 311,934.75

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Solution

The third proportional to 206,804.50 and 311,934.75 is: 470,508.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    206,804.50 : 311,934.75 = 311,934.75 : x
  2. Step 2: Convert to fraction form
    206,804.50/311,934.75 = 311,934.75/x
  3. Step 3: Cross multiply
    206,804.50x = 311,934.75 × 311,934.75
  4. Step 4: Simplify right side
    206,804.50x = 97,303,288,257.56
  5. Step 5: Solve for x
    x = 97,303,288,257.56/206,804.50
  6. Step 6: Final answer
    x = 470,508.56

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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.