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Finding the Third Proportional to 199,944 and 300,495

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Solution

The third proportional to 199,944 and 300,495 is: 451,612.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    199,944 : 300,495 = 300,495 : x
  2. Step 2: Convert to fraction form
    199,944/300,495 = 300,495/x
  3. Step 3: Cross multiply
    199,944x = 300,495 × 300,495
  4. Step 4: Simplify right side
    199,944x = 90,297,245,025
  5. Step 5: Solve for x
    x = 90,297,245,025/199,944
  6. Step 6: Final answer
    x = 451,612.68

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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.