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Finding the Third Proportional to 190,651 and 376,517

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Solution

The third proportional to 190,651 and 376,517 is: 743,584.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    190,651 : 376,517 = 376,517 : x
  2. Step 2: Convert to fraction form
    190,651/376,517 = 376,517/x
  3. Step 3: Cross multiply
    190,651x = 376,517 × 376,517
  4. Step 4: Simplify right side
    190,651x = 141,765,051,289
  5. Step 5: Solve for x
    x = 141,765,051,289/190,651
  6. Step 6: Final answer
    x = 743,584.09

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Why These Related Problems?

These problems maintain the same ratio (1.97) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.