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Finding the Third Proportional to 206,500.50 and 313,679.25

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Solution

The third proportional to 206,500.50 and 313,679.25 is: 476,486.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    206,500.50 : 313,679.25 = 313,679.25 : x
  2. Step 2: Convert to fraction form
    206,500.50/313,679.25 = 313,679.25/x
  3. Step 3: Cross multiply
    206,500.50x = 313,679.25 × 313,679.25
  4. Step 4: Simplify right side
    206,500.50x = 98,394,671,880.56
  5. Step 5: Solve for x
    x = 98,394,671,880.56/206,500.50
  6. Step 6: Final answer
    x = 476,486.36

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.