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Finding the Third Proportional to 193,495.50 and 293,163.75

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Solution

The third proportional to 193,495.50 and 293,163.75 is: 444,170.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    193,495.50 : 293,163.75 = 293,163.75 : x
  2. Step 2: Convert to fraction form
    193,495.50/293,163.75 = 293,163.75/x
  3. Step 3: Cross multiply
    193,495.50x = 293,163.75 × 293,163.75
  4. Step 4: Simplify right side
    193,495.50x = 85,944,984,314.06
  5. Step 5: Solve for x
    x = 85,944,984,314.06/193,495.50
  6. Step 6: Final answer
    x = 444,170.46

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These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.