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Finding the Third Proportional to 206,799 and 431,094

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Solution

The third proportional to 206,799 and 431,094 is: 898,660.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    206,799 : 431,094 = 431,094 : x
  2. Step 2: Convert to fraction form
    206,799/431,094 = 431,094/x
  3. Step 3: Cross multiply
    206,799x = 431,094 × 431,094
  4. Step 4: Simplify right side
    206,799x = 185,842,036,836
  5. Step 5: Solve for x
    x = 185,842,036,836/206,799
  6. Step 6: Final answer
    x = 898,660.23

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.