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Finding the Third Proportional to 75,394.13 and 150,780.75

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Solution

The third proportional to 75,394.13 and 150,780.75 is: 301,546.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,394.13 : 150,780.75 = 150,780.75 : x
  2. Step 2: Convert to fraction form
    75,394.13/150,780.75 = 150,780.75/x
  3. Step 3: Cross multiply
    75,394.13x = 150,780.75 × 150,780.75
  4. Step 4: Simplify right side
    75,394.13x = 22,734,834,570.56
  5. Step 5: Solve for x
    x = 22,734,834,570.56/75,394.13
  6. Step 6: Final answer
    x = 301,546.50

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These problems maintain the same ratio (2.00) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.