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Finding the Third Proportional to 190,674 and 376,554

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Solution

The third proportional to 190,674 and 376,554 is: 743,640.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    190,674 : 376,554 = 376,554 : x
  2. Step 2: Convert to fraction form
    190,674/376,554 = 376,554/x
  3. Step 3: Cross multiply
    190,674x = 376,554 × 376,554
  4. Step 4: Simplify right side
    190,674x = 141,792,914,916
  5. Step 5: Solve for x
    x = 141,792,914,916/190,674
  6. Step 6: Final answer
    x = 743,640.53

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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.