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Finding the Third Proportional to 206,395 and 421,537

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Solution

The third proportional to 206,395 and 421,537 is: 860,938.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    206,395 : 421,537 = 421,537 : x
  2. Step 2: Convert to fraction form
    206,395/421,537 = 421,537/x
  3. Step 3: Cross multiply
    206,395x = 421,537 × 421,537
  4. Step 4: Simplify right side
    206,395x = 177,693,442,369
  5. Step 5: Solve for x
    x = 177,693,442,369/206,395
  6. Step 6: Final answer
    x = 860,938.70

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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.