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Finding the Third Proportional to 230,131 and 476,238

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Solution

The third proportional to 230,131 and 476,238 is: 985,537.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    230,131 : 476,238 = 476,238 : x
  2. Step 2: Convert to fraction form
    230,131/476,238 = 476,238/x
  3. Step 3: Cross multiply
    230,131x = 476,238 × 476,238
  4. Step 4: Simplify right side
    230,131x = 226,802,632,644
  5. Step 5: Solve for x
    x = 226,802,632,644/230,131
  6. Step 6: Final answer
    x = 985,537.08

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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.