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Finding the Third Proportional to 149,224.50 and 231,401.25

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Solution

The third proportional to 149,224.50 and 231,401.25 is: 358,832.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    149,224.50 : 231,401.25 = 231,401.25 : x
  2. Step 2: Convert to fraction form
    149,224.50/231,401.25 = 231,401.25/x
  3. Step 3: Cross multiply
    149,224.50x = 231,401.25 × 231,401.25
  4. Step 4: Simplify right side
    149,224.50x = 53,546,538,501.56
  5. Step 5: Solve for x
    x = 53,546,538,501.56/149,224.50
  6. Step 6: Final answer
    x = 358,832.09

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These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.