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Finding the Third Proportional to 203,892.75 and 474,043.50

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Solution

The third proportional to 203,892.75 and 474,043.50 is: 1,102,134.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    203,892.75 : 474,043.50 = 474,043.50 : x
  2. Step 2: Convert to fraction form
    203,892.75/474,043.50 = 474,043.50/x
  3. Step 3: Cross multiply
    203,892.75x = 474,043.50 × 474,043.50
  4. Step 4: Simplify right side
    203,892.75x = 224,717,239,892.25
  5. Step 5: Solve for x
    x = 224,717,239,892.25/203,892.75
  6. Step 6: Final answer
    x = 1,102,134.53

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Why These Related Problems?

These problems maintain the same ratio (2.32) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.