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Finding the Third Proportional to 203,505 and 442,041

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Solution

The third proportional to 203,505 and 442,041 is: 960,174.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    203,505 : 442,041 = 442,041 : x
  2. Step 2: Convert to fraction form
    203,505/442,041 = 442,041/x
  3. Step 3: Cross multiply
    203,505x = 442,041 × 442,041
  4. Step 4: Simplify right side
    203,505x = 195,400,245,681
  5. Step 5: Solve for x
    x = 195,400,245,681/203,505
  6. Step 6: Final answer
    x = 960,174.18

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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.