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Finding the Third Proportional to 190,642 and 376,500

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Solution

The third proportional to 190,642 and 376,500 is: 743,552.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    190,642 : 376,500 = 376,500 : x
  2. Step 2: Convert to fraction form
    190,642/376,500 = 376,500/x
  3. Step 3: Cross multiply
    190,642x = 376,500 × 376,500
  4. Step 4: Simplify right side
    190,642x = 141,752,250,000
  5. Step 5: Solve for x
    x = 141,752,250,000/190,642
  6. Step 6: Final answer
    x = 743,552.05

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