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Finding the Third Proportional to 199,942 and 300,492

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Solution

The third proportional to 199,942 and 300,492 is: 451,608.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    199,942 : 300,492 = 300,492 : x
  2. Step 2: Convert to fraction form
    199,942/300,492 = 300,492/x
  3. Step 3: Cross multiply
    199,942x = 300,492 × 300,492
  4. Step 4: Simplify right side
    199,942x = 90,295,442,064
  5. Step 5: Solve for x
    x = 90,295,442,064/199,942
  6. Step 6: Final answer
    x = 451,608.18

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.