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Finding the Third Proportional to 150,559.50 and 334,336.50

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Solution

The third proportional to 150,559.50 and 334,336.50 is: 742,436.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    150,559.50 : 334,336.50 = 334,336.50 : x
  2. Step 2: Convert to fraction form
    150,559.50/334,336.50 = 334,336.50/x
  3. Step 3: Cross multiply
    150,559.50x = 334,336.50 × 334,336.50
  4. Step 4: Simplify right side
    150,559.50x = 111,780,895,232.25
  5. Step 5: Solve for x
    x = 111,780,895,232.25/150,559.50
  6. Step 6: Final answer
    x = 742,436.68

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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.