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Finding the Third Proportional to 203,811.75 and 442,743.75

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Solution

The third proportional to 203,811.75 and 442,743.75 is: 961,779.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    203,811.75 : 442,743.75 = 442,743.75 : x
  2. Step 2: Convert to fraction form
    203,811.75/442,743.75 = 442,743.75/x
  3. Step 3: Cross multiply
    203,811.75x = 442,743.75 × 442,743.75
  4. Step 4: Simplify right side
    203,811.75x = 196,022,028,164.06
  5. Step 5: Solve for x
    x = 196,022,028,164.06/203,811.75
  6. Step 6: Final answer
    x = 961,779.82

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These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.