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Finding the Third Proportional to 203,908.50 and 437,351.50

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Solution

The third proportional to 203,908.50 and 437,351.50 is: 938,049.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    203,908.50 : 437,351.50 = 437,351.50 : x
  2. Step 2: Convert to fraction form
    203,908.50/437,351.50 = 437,351.50/x
  3. Step 3: Cross multiply
    203,908.50x = 437,351.50 × 437,351.50
  4. Step 4: Simplify right side
    203,908.50x = 191,276,334,552.25
  5. Step 5: Solve for x
    x = 191,276,334,552.25/203,908.50
  6. Step 6: Final answer
    x = 938,049.83

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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.