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Finding the Third Proportional to 203,896.50 and 474,051

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Solution

The third proportional to 203,896.50 and 474,051 is: 1,102,149.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    203,896.50 : 474,051 = 474,051 : x
  2. Step 2: Convert to fraction form
    203,896.50/474,051 = 474,051/x
  3. Step 3: Cross multiply
    203,896.50x = 474,051 × 474,051
  4. Step 4: Simplify right side
    203,896.50x = 224,724,350,601
  5. Step 5: Solve for x
    x = 224,724,350,601/203,896.50
  6. Step 6: Final answer
    x = 1,102,149.13

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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.