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Finding the Third Proportional to 101,772 and 206,304

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Solution

The third proportional to 101,772 and 206,304 is: 418,202.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    101,772 : 206,304 = 206,304 : x
  2. Step 2: Convert to fraction form
    101,772/206,304 = 206,304/x
  3. Step 3: Cross multiply
    101,772x = 206,304 × 206,304
  4. Step 4: Simplify right side
    101,772x = 42,561,340,416
  5. Step 5: Solve for x
    x = 42,561,340,416/101,772
  6. Step 6: Final answer
    x = 418,202.85

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Why These Related Problems?

These problems maintain the same ratio (2.03) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.