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Finding the Third Proportional to 203,952.75 and 437,429.25

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Solution

The third proportional to 203,952.75 and 437,429.25 is: 938,179.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    203,952.75 : 437,429.25 = 437,429.25 : x
  2. Step 2: Convert to fraction form
    203,952.75/437,429.25 = 437,429.25/x
  3. Step 3: Cross multiply
    203,952.75x = 437,429.25 × 437,429.25
  4. Step 4: Simplify right side
    203,952.75x = 191,344,348,755.56
  5. Step 5: Solve for x
    x = 191,344,348,755.56/203,952.75
  6. Step 6: Final answer
    x = 938,179.79

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.