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Finding the Third Proportional to 138,358.13 and 303,795.56

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Solution

The third proportional to 138,358.13 and 303,795.56 is: 667,049.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    138,358.13 : 303,795.56 = 303,795.56 : x
  2. Step 2: Convert to fraction form
    138,358.13/303,795.56 = 303,795.56/x
  3. Step 3: Cross multiply
    138,358.13x = 303,795.56 × 303,795.56
  4. Step 4: Simplify right side
    138,358.13x = 92,291,743,794.69
  5. Step 5: Solve for x
    x = 92,291,743,794.69/138,358.13
  6. Step 6: Final answer
    x = 667,049.69

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.