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Finding the Third Proportional to 203,470.73 and 299,324.11

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Solution

The third proportional to 203,470.73 and 299,324.11 is: 440,333.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    203,470.73 : 299,324.11 = 299,324.11 : x
  2. Step 2: Convert to fraction form
    203,470.73/299,324.11 = 299,324.11/x
  3. Step 3: Cross multiply
    203,470.73x = 299,324.11 × 299,324.11
  4. Step 4: Simplify right side
    203,470.73x = 89,594,922,453.14
  5. Step 5: Solve for x
    x = 89,594,922,453.14/203,470.73
  6. Step 6: Final answer
    x = 440,333.21

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.