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Finding the Third Proportional to 190,845 and 407,934

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Solution

The third proportional to 190,845 and 407,934 is: 871,964.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    190,845 : 407,934 = 407,934 : x
  2. Step 2: Convert to fraction form
    190,845/407,934 = 407,934/x
  3. Step 3: Cross multiply
    190,845x = 407,934 × 407,934
  4. Step 4: Simplify right side
    190,845x = 166,410,148,356
  5. Step 5: Solve for x
    x = 166,410,148,356/190,845
  6. Step 6: Final answer
    x = 871,964.94

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.