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Finding the Third Proportional to 203,973 and 441,844.50

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Solution

The third proportional to 203,973 and 441,844.50 is: 957,119.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    203,973 : 441,844.50 = 441,844.50 : x
  2. Step 2: Convert to fraction form
    203,973/441,844.50 = 441,844.50/x
  3. Step 3: Cross multiply
    203,973x = 441,844.50 × 441,844.50
  4. Step 4: Simplify right side
    203,973x = 195,226,562,180.25
  5. Step 5: Solve for x
    x = 195,226,562,180.25/203,973
  6. Step 6: Final answer
    x = 957,119.63

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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.