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Finding the Third Proportional to 206,622 and 313,053

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Solution

The third proportional to 206,622 and 313,053 is: 474,306.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    206,622 : 313,053 = 313,053 : x
  2. Step 2: Convert to fraction form
    206,622/313,053 = 313,053/x
  3. Step 3: Cross multiply
    206,622x = 313,053 × 313,053
  4. Step 4: Simplify right side
    206,622x = 98,002,180,809
  5. Step 5: Solve for x
    x = 98,002,180,809/206,622
  6. Step 6: Final answer
    x = 474,306.61

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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.