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Finding the Third Proportional to 206,208 and 481,800

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Solution

The third proportional to 206,208 and 481,800 is: 1,125,714.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    206,208 : 481,800 = 481,800 : x
  2. Step 2: Convert to fraction form
    206,208/481,800 = 481,800/x
  3. Step 3: Cross multiply
    206,208x = 481,800 × 481,800
  4. Step 4: Simplify right side
    206,208x = 232,131,240,000
  5. Step 5: Solve for x
    x = 232,131,240,000/206,208
  6. Step 6: Final answer
    x = 1,125,714.04

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Why These Related Problems?

These problems maintain the same ratio (2.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.