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Finding the Third Proportional to 190,638 and 376,491

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Solution

The third proportional to 190,638 and 376,491 is: 743,532.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    190,638 : 376,491 = 376,491 : x
  2. Step 2: Convert to fraction form
    190,638/376,491 = 376,491/x
  3. Step 3: Cross multiply
    190,638x = 376,491 × 376,491
  4. Step 4: Simplify right side
    190,638x = 141,745,473,081
  5. Step 5: Solve for x
    x = 141,745,473,081/190,638
  6. Step 6: Final answer
    x = 743,532.10

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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.