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Finding the Third Proportional to 190,760 and 283,884

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Solution

The third proportional to 190,760 and 283,884 is: 422,468.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    190,760 : 283,884 = 283,884 : x
  2. Step 2: Convert to fraction form
    190,760/283,884 = 283,884/x
  3. Step 3: Cross multiply
    190,760x = 283,884 × 283,884
  4. Step 4: Simplify right side
    190,760x = 80,590,125,456
  5. Step 5: Solve for x
    x = 80,590,125,456/190,760
  6. Step 6: Final answer
    x = 422,468.68

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.