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Finding the Third Proportional to 203,229 and 285,936.75

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Solution

The third proportional to 203,229 and 285,936.75 is: 402,303.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    203,229 : 285,936.75 = 285,936.75 : x
  2. Step 2: Convert to fraction form
    203,229/285,936.75 = 285,936.75/x
  3. Step 3: Cross multiply
    203,229x = 285,936.75 × 285,936.75
  4. Step 4: Simplify right side
    203,229x = 81,759,825,000.56
  5. Step 5: Solve for x
    x = 81,759,825,000.56/203,229
  6. Step 6: Final answer
    x = 402,303.93

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Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.