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Finding the Third Proportional to 237,813 and 326,099.50

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Solution

The third proportional to 237,813 and 326,099.50 is: 447,161.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    237,813 : 326,099.50 = 326,099.50 : x
  2. Step 2: Convert to fraction form
    237,813/326,099.50 = 326,099.50/x
  3. Step 3: Cross multiply
    237,813x = 326,099.50 × 326,099.50
  4. Step 4: Simplify right side
    237,813x = 106,340,883,900.25
  5. Step 5: Solve for x
    x = 106,340,883,900.25/237,813
  6. Step 6: Final answer
    x = 447,161.78

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These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.