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Finding the Third Proportional to 205,241.25 and 441,046.50

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Solution

The third proportional to 205,241.25 and 441,046.50 is: 947,772.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    205,241.25 : 441,046.50 = 441,046.50 : x
  2. Step 2: Convert to fraction form
    205,241.25/441,046.50 = 441,046.50/x
  3. Step 3: Cross multiply
    205,241.25x = 441,046.50 × 441,046.50
  4. Step 4: Simplify right side
    205,241.25x = 194,522,015,162.25
  5. Step 5: Solve for x
    x = 194,522,015,162.25/205,241.25
  6. Step 6: Final answer
    x = 947,772.51

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.