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Finding the Third Proportional to 204,063.75 and 443,081.25

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Solution

The third proportional to 204,063.75 and 443,081.25 is: 962,057.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    204,063.75 : 443,081.25 = 443,081.25 : x
  2. Step 2: Convert to fraction form
    204,063.75/443,081.25 = 443,081.25/x
  3. Step 3: Cross multiply
    204,063.75x = 443,081.25 × 443,081.25
  4. Step 4: Simplify right side
    204,063.75x = 196,320,994,101.56
  5. Step 5: Solve for x
    x = 196,320,994,101.56/204,063.75
  6. Step 6: Final answer
    x = 962,057.17

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.