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Finding the Third Proportional to 230,194 and 476,372

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Solution

The third proportional to 230,194 and 476,372 is: 985,821.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    230,194 : 476,372 = 476,372 : x
  2. Step 2: Convert to fraction form
    230,194/476,372 = 476,372/x
  3. Step 3: Cross multiply
    230,194x = 476,372 × 476,372
  4. Step 4: Simplify right side
    230,194x = 226,930,282,384
  5. Step 5: Solve for x
    x = 226,930,282,384/230,194
  6. Step 6: Final answer
    x = 985,821.88

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Why These Related Problems?

These problems maintain the same ratio (2.07) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.