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Finding the Third Proportional to 199,938 and 300,486

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Solution

The third proportional to 199,938 and 300,486 is: 451,599.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    199,938 : 300,486 = 300,486 : x
  2. Step 2: Convert to fraction form
    199,938/300,486 = 300,486/x
  3. Step 3: Cross multiply
    199,938x = 300,486 × 300,486
  4. Step 4: Simplify right side
    199,938x = 90,291,836,196
  5. Step 5: Solve for x
    x = 90,291,836,196/199,938
  6. Step 6: Final answer
    x = 451,599.18

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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.