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Finding the Third Proportional to 203,815.50 and 442,750.50

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Solution

The third proportional to 203,815.50 and 442,750.50 is: 961,791.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    203,815.50 : 442,750.50 = 442,750.50 : x
  2. Step 2: Convert to fraction form
    203,815.50/442,750.50 = 442,750.50/x
  3. Step 3: Cross multiply
    203,815.50x = 442,750.50 × 442,750.50
  4. Step 4: Simplify right side
    203,815.50x = 196,028,005,250.25
  5. Step 5: Solve for x
    x = 196,028,005,250.25/203,815.50
  6. Step 6: Final answer
    x = 961,791.45

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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.