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Finding the Third Proportional to 206,959.83 and 303,625.65

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Solution

The third proportional to 206,959.83 and 303,625.65 is: 445,441.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    206,959.83 : 303,625.65 = 303,625.65 : x
  2. Step 2: Convert to fraction form
    206,959.83/303,625.65 = 303,625.65/x
  3. Step 3: Cross multiply
    206,959.83x = 303,625.65 × 303,625.65
  4. Step 4: Simplify right side
    206,959.83x = 92,188,536,761.17
  5. Step 5: Solve for x
    x = 92,188,536,761.17/206,959.83
  6. Step 6: Final answer
    x = 445,441.70

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.