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Finding the Third Proportional to 150,539.75 and 220,157

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Solution

The third proportional to 150,539.75 and 220,157 is: 321,968.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    150,539.75 : 220,157 = 220,157 : x
  2. Step 2: Convert to fraction form
    150,539.75/220,157 = 220,157/x
  3. Step 3: Cross multiply
    150,539.75x = 220,157 × 220,157
  4. Step 4: Simplify right side
    150,539.75x = 48,469,104,649
  5. Step 5: Solve for x
    x = 48,469,104,649/150,539.75
  6. Step 6: Final answer
    x = 321,968.81

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These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.