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Finding the Third Proportional to 204,754.50 and 309,993.75

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Solution

The third proportional to 204,754.50 and 309,993.75 is: 469,323.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    204,754.50 : 309,993.75 = 309,993.75 : x
  2. Step 2: Convert to fraction form
    204,754.50/309,993.75 = 309,993.75/x
  3. Step 3: Cross multiply
    204,754.50x = 309,993.75 × 309,993.75
  4. Step 4: Simplify right side
    204,754.50x = 96,096,125,039.06
  5. Step 5: Solve for x
    x = 96,096,125,039.06/204,754.50
  6. Step 6: Final answer
    x = 469,323.63

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.