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Finding the Third Proportional to 206,498 and 313,676

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Solution

The third proportional to 206,498 and 313,676 is: 476,482.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    206,498 : 313,676 = 313,676 : x
  2. Step 2: Convert to fraction form
    206,498/313,676 = 313,676/x
  3. Step 3: Cross multiply
    206,498x = 313,676 × 313,676
  4. Step 4: Simplify right side
    206,498x = 98,392,632,976
  5. Step 5: Solve for x
    x = 98,392,632,976/206,498
  6. Step 6: Final answer
    x = 476,482.26

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