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Finding the Third Proportional to 206,393 and 421,533

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Solution

The third proportional to 206,393 and 421,533 is: 860,930.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    206,393 : 421,533 = 421,533 : x
  2. Step 2: Convert to fraction form
    206,393/421,533 = 421,533/x
  3. Step 3: Cross multiply
    206,393x = 421,533 × 421,533
  4. Step 4: Simplify right side
    206,393x = 177,690,070,089
  5. Step 5: Solve for x
    x = 177,690,070,089/206,393
  6. Step 6: Final answer
    x = 860,930.70

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Why These Related Problems?

These problems maintain the same ratio (2.04) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.