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Finding the Third Proportional to 215,933.50 and 445,697.75

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Solution

The third proportional to 215,933.50 and 445,697.75 is: 919,942.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    215,933.50 : 445,697.75 = 445,697.75 : x
  2. Step 2: Convert to fraction form
    215,933.50/445,697.75 = 445,697.75/x
  3. Step 3: Cross multiply
    215,933.50x = 445,697.75 × 445,697.75
  4. Step 4: Simplify right side
    215,933.50x = 198,646,484,355.06
  5. Step 5: Solve for x
    x = 198,646,484,355.06/215,933.50
  6. Step 6: Final answer
    x = 919,942.87

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Why These Related Problems?

These problems maintain the same ratio (2.06) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.