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Finding the Third Proportional to 193,606.05 and 419,383.45

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Solution

The third proportional to 193,606.05 and 419,383.45 is: 908,455.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    193,606.05 : 419,383.45 = 419,383.45 : x
  2. Step 2: Convert to fraction form
    193,606.05/419,383.45 = 419,383.45/x
  3. Step 3: Cross multiply
    193,606.05x = 419,383.45 × 419,383.45
  4. Step 4: Simplify right side
    193,606.05x = 175,882,480,755.05
  5. Step 5: Solve for x
    x = 175,882,480,755.05/193,606.05
  6. Step 6: Final answer
    x = 908,455.48

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.