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Finding the Third Proportional to 150,561.75 and 334,338.75

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Solution

The third proportional to 150,561.75 and 334,338.75 is: 742,435.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    150,561.75 : 334,338.75 = 334,338.75 : x
  2. Step 2: Convert to fraction form
    150,561.75/334,338.75 = 334,338.75/x
  3. Step 3: Cross multiply
    150,561.75x = 334,338.75 × 334,338.75
  4. Step 4: Simplify right side
    150,561.75x = 111,782,399,751.56
  5. Step 5: Solve for x
    x = 111,782,399,751.56/150,561.75
  6. Step 6: Final answer
    x = 742,435.58

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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.