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Finding the Third Proportional to 203,228 and 285,936.50

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Solution

The third proportional to 203,228 and 285,936.50 is: 402,305.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    203,228 : 285,936.50 = 285,936.50 : x
  2. Step 2: Convert to fraction form
    203,228/285,936.50 = 285,936.50/x
  3. Step 3: Cross multiply
    203,228x = 285,936.50 × 285,936.50
  4. Step 4: Simplify right side
    203,228x = 81,759,682,032.25
  5. Step 5: Solve for x
    x = 81,759,682,032.25/203,228
  6. Step 6: Final answer
    x = 402,305.20

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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.