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Finding the Third Proportional to 203,211 and 442,625.50

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Solution

The third proportional to 203,211 and 442,625.50 is: 964,107.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    203,211 : 442,625.50 = 442,625.50 : x
  2. Step 2: Convert to fraction form
    203,211/442,625.50 = 442,625.50/x
  3. Step 3: Cross multiply
    203,211x = 442,625.50 × 442,625.50
  4. Step 4: Simplify right side
    203,211x = 195,917,333,250.25
  5. Step 5: Solve for x
    x = 195,917,333,250.25/203,211
  6. Step 6: Final answer
    x = 964,107.91

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.