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Finding the Third Proportional to 203,972.50 and 441,844

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Solution

The third proportional to 203,972.50 and 441,844 is: 957,119.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    203,972.50 : 441,844 = 441,844 : x
  2. Step 2: Convert to fraction form
    203,972.50/441,844 = 441,844/x
  3. Step 3: Cross multiply
    203,972.50x = 441,844 × 441,844
  4. Step 4: Simplify right side
    203,972.50x = 195,226,120,336
  5. Step 5: Solve for x
    x = 195,226,120,336/203,972.50
  6. Step 6: Final answer
    x = 957,119.81

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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.