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Finding the Third Proportional to 149,581.69 and 224,521.56

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Solution

The third proportional to 149,581.69 and 224,521.56 is: 337,006.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    149,581.69 : 224,521.56 = 224,521.56 : x
  2. Step 2: Convert to fraction form
    149,581.69/224,521.56 = 224,521.56/x
  3. Step 3: Cross multiply
    149,581.69x = 224,521.56 × 224,521.56
  4. Step 4: Simplify right side
    149,581.69x = 50,409,930,273.37
  5. Step 5: Solve for x
    x = 50,409,930,273.37/149,581.69
  6. Step 6: Final answer
    x = 337,006.03

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.