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Finding the Third Proportional to 150,093.75 and 325,099.50

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Solution

The third proportional to 150,093.75 and 325,099.50 is: 704,157.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    150,093.75 : 325,099.50 = 325,099.50 : x
  2. Step 2: Convert to fraction form
    150,093.75/325,099.50 = 325,099.50/x
  3. Step 3: Cross multiply
    150,093.75x = 325,099.50 × 325,099.50
  4. Step 4: Simplify right side
    150,093.75x = 105,689,684,900.25
  5. Step 5: Solve for x
    x = 105,689,684,900.25/150,093.75
  6. Step 6: Final answer
    x = 704,157.80

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These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.