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Finding the Third Proportional to 203,998.50 and 440,842.50

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Solution

The third proportional to 203,998.50 and 440,842.50 is: 952,664.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    203,998.50 : 440,842.50 = 440,842.50 : x
  2. Step 2: Convert to fraction form
    203,998.50/440,842.50 = 440,842.50/x
  3. Step 3: Cross multiply
    203,998.50x = 440,842.50 × 440,842.50
  4. Step 4: Simplify right side
    203,998.50x = 194,342,109,806.25
  5. Step 5: Solve for x
    x = 194,342,109,806.25/203,998.50
  6. Step 6: Final answer
    x = 952,664.41

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.