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Finding the Third Proportional to 189,400.75 and 420,842.75

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Solution

The third proportional to 189,400.75 and 420,842.75 is: 935,099.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    189,400.75 : 420,842.75 = 420,842.75 : x
  2. Step 2: Convert to fraction form
    189,400.75/420,842.75 = 420,842.75/x
  3. Step 3: Cross multiply
    189,400.75x = 420,842.75 × 420,842.75
  4. Step 4: Simplify right side
    189,400.75x = 177,108,620,227.56
  5. Step 5: Solve for x
    x = 177,108,620,227.56/189,400.75
  6. Step 6: Final answer
    x = 935,099.89

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These problems maintain the same ratio (2.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.