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Finding the Third Proportional to 203,796 and 418,932

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Solution

The third proportional to 203,796 and 418,932 is: 861,175.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    203,796 : 418,932 = 418,932 : x
  2. Step 2: Convert to fraction form
    203,796/418,932 = 418,932/x
  3. Step 3: Cross multiply
    203,796x = 418,932 × 418,932
  4. Step 4: Simplify right side
    203,796x = 175,504,020,624
  5. Step 5: Solve for x
    x = 175,504,020,624/203,796
  6. Step 6: Final answer
    x = 861,175.00

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Why These Related Problems?

These problems maintain the same ratio (2.06) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.