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Finding the Third Proportional to 203,871.38 and 437,268.38

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Solution

The third proportional to 203,871.38 and 437,268.38 is: 937,864.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    203,871.38 : 437,268.38 = 437,268.38 : x
  2. Step 2: Convert to fraction form
    203,871.38/437,268.38 = 437,268.38/x
  3. Step 3: Cross multiply
    203,871.38x = 437,268.38 × 437,268.38
  4. Step 4: Simplify right side
    203,871.38x = 191,203,631,775.14
  5. Step 5: Solve for x
    x = 191,203,631,775.14/203,871.38
  6. Step 6: Final answer
    x = 937,864.04

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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.