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Finding the Third Proportional to 191,251.13 and 419,286.38

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Solution

The third proportional to 191,251.13 and 419,286.38 is: 919,215.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    191,251.13 : 419,286.38 = 419,286.38 : x
  2. Step 2: Convert to fraction form
    191,251.13/419,286.38 = 419,286.38/x
  3. Step 3: Cross multiply
    191,251.13x = 419,286.38 × 419,286.38
  4. Step 4: Simplify right side
    191,251.13x = 175,801,064,260.64
  5. Step 5: Solve for x
    x = 175,801,064,260.64/191,251.13
  6. Step 6: Final answer
    x = 919,215.84

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.