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Finding the Third Proportional to 200,131 and 304,325

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Solution

The third proportional to 200,131 and 304,325 is: 462,765.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    200,131 : 304,325 = 304,325 : x
  2. Step 2: Convert to fraction form
    200,131/304,325 = 304,325/x
  3. Step 3: Cross multiply
    200,131x = 304,325 × 304,325
  4. Step 4: Simplify right side
    200,131x = 92,613,705,625
  5. Step 5: Solve for x
    x = 92,613,705,625/200,131
  6. Step 6: Final answer
    x = 462,765.42

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.