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Finding the Third Proportional to 204,350.50 and 303,609.50

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Solution

The third proportional to 204,350.50 and 303,609.50 is: 451,081.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    204,350.50 : 303,609.50 = 303,609.50 : x
  2. Step 2: Convert to fraction form
    204,350.50/303,609.50 = 303,609.50/x
  3. Step 3: Cross multiply
    204,350.50x = 303,609.50 × 303,609.50
  4. Step 4: Simplify right side
    204,350.50x = 92,178,728,490.25
  5. Step 5: Solve for x
    x = 92,178,728,490.25/204,350.50
  6. Step 6: Final answer
    x = 451,081.49

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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.