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Finding the Third Proportional to 206,983.25 and 311,500.25

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Solution

The third proportional to 206,983.25 and 311,500.25 is: 468,793.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    206,983.25 : 311,500.25 = 311,500.25 : x
  2. Step 2: Convert to fraction form
    206,983.25/311,500.25 = 311,500.25/x
  3. Step 3: Cross multiply
    206,983.25x = 311,500.25 × 311,500.25
  4. Step 4: Simplify right side
    206,983.25x = 97,032,405,750.06
  5. Step 5: Solve for x
    x = 97,032,405,750.06/206,983.25
  6. Step 6: Final answer
    x = 468,793.52

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.