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Finding the Third Proportional to 192,145.50 and 305,388.56

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Solution

The third proportional to 192,145.50 and 305,388.56 is: 485,372.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    192,145.50 : 305,388.56 = 305,388.56 : x
  2. Step 2: Convert to fraction form
    192,145.50/305,388.56 = 305,388.56/x
  3. Step 3: Cross multiply
    192,145.50x = 305,388.56 × 305,388.56
  4. Step 4: Simplify right side
    192,145.50x = 93,262,174,105.82
  5. Step 5: Solve for x
    x = 93,262,174,105.82/192,145.50
  6. Step 6: Final answer
    x = 485,372.67

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.