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Finding the Third Proportional to 190,640 and 376,496

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Solution

The third proportional to 190,640 and 376,496 is: 743,544.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    190,640 : 376,496 = 376,496 : x
  2. Step 2: Convert to fraction form
    190,640/376,496 = 376,496/x
  3. Step 3: Cross multiply
    190,640x = 376,496 × 376,496
  4. Step 4: Simplify right side
    190,640x = 141,749,238,016
  5. Step 5: Solve for x
    x = 141,749,238,016/190,640
  6. Step 6: Final answer
    x = 743,544.05

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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.