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Finding the Third Proportional to 206,212 and 313,638

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Solution

The third proportional to 206,212 and 313,638 is: 477,027.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    206,212 : 313,638 = 313,638 : x
  2. Step 2: Convert to fraction form
    206,212/313,638 = 313,638/x
  3. Step 3: Cross multiply
    206,212x = 313,638 × 313,638
  4. Step 4: Simplify right side
    206,212x = 98,368,795,044
  5. Step 5: Solve for x
    x = 98,368,795,044/206,212
  6. Step 6: Final answer
    x = 477,027.50

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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.