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Finding the Third Proportional to 204,236 and 331,570

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Solution

The third proportional to 204,236 and 331,570 is: 538,292.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    204,236 : 331,570 = 331,570 : x
  2. Step 2: Convert to fraction form
    204,236/331,570 = 331,570/x
  3. Step 3: Cross multiply
    204,236x = 331,570 × 331,570
  4. Step 4: Simplify right side
    204,236x = 109,938,664,900
  5. Step 5: Solve for x
    x = 109,938,664,900/204,236
  6. Step 6: Final answer
    x = 538,292.29

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Why These Related Problems?

These problems maintain the same ratio (1.62) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.