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Finding the Third Proportional to 150,501.38 and 326,220.75

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Solution

The third proportional to 150,501.38 and 326,220.75 is: 707,103.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    150,501.38 : 326,220.75 = 326,220.75 : x
  2. Step 2: Convert to fraction form
    150,501.38/326,220.75 = 326,220.75/x
  3. Step 3: Cross multiply
    150,501.38x = 326,220.75 × 326,220.75
  4. Step 4: Simplify right side
    150,501.38x = 106,419,977,730.56
  5. Step 5: Solve for x
    x = 106,419,977,730.56/150,501.38
  6. Step 6: Final answer
    x = 707,103.03

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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.