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Finding the Third Proportional to 204,353 and 303,612

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Solution

The third proportional to 204,353 and 303,612 is: 451,083.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    204,353 : 303,612 = 303,612 : x
  2. Step 2: Convert to fraction form
    204,353/303,612 = 303,612/x
  3. Step 3: Cross multiply
    204,353x = 303,612 × 303,612
  4. Step 4: Simplify right side
    204,353x = 92,180,246,544
  5. Step 5: Solve for x
    x = 92,180,246,544/204,353
  6. Step 6: Final answer
    x = 451,083.40

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.