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Finding the Third Proportional to 204,631.31 and 482,375.25

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Solution

The third proportional to 204,631.31 and 482,375.25 is: 1,137,098.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    204,631.31 : 482,375.25 = 482,375.25 : x
  2. Step 2: Convert to fraction form
    204,631.31/482,375.25 = 482,375.25/x
  3. Step 3: Cross multiply
    204,631.31x = 482,375.25 × 482,375.25
  4. Step 4: Simplify right side
    204,631.31x = 232,685,881,812.56
  5. Step 5: Solve for x
    x = 232,685,881,812.56/204,631.31
  6. Step 6: Final answer
    x = 1,137,098.13

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Why These Related Problems?

These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.