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Finding the Third Proportional to 150,558 and 220,181.25

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Solution

The third proportional to 150,558 and 220,181.25 is: 322,000.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    150,558 : 220,181.25 = 220,181.25 : x
  2. Step 2: Convert to fraction form
    150,558/220,181.25 = 220,181.25/x
  3. Step 3: Cross multiply
    150,558x = 220,181.25 × 220,181.25
  4. Step 4: Simplify right side
    150,558x = 48,479,782,851.56
  5. Step 5: Solve for x
    x = 48,479,782,851.56/150,558
  6. Step 6: Final answer
    x = 322,000.71

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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.