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Finding the Third Proportional to 205,722 and 313,317

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Solution

The third proportional to 205,722 and 313,317 is: 477,185.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    205,722 : 313,317 = 313,317 : x
  2. Step 2: Convert to fraction form
    205,722/313,317 = 313,317/x
  3. Step 3: Cross multiply
    205,722x = 313,317 × 313,317
  4. Step 4: Simplify right side
    205,722x = 98,167,542,489
  5. Step 5: Solve for x
    x = 98,167,542,489/205,722
  6. Step 6: Final answer
    x = 477,185.44

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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.