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Finding the Third Proportional to 199,576.50 and 309,874.50

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Solution

The third proportional to 199,576.50 and 309,874.50 is: 481,129.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    199,576.50 : 309,874.50 = 309,874.50 : x
  2. Step 2: Convert to fraction form
    199,576.50/309,874.50 = 309,874.50/x
  3. Step 3: Cross multiply
    199,576.50x = 309,874.50 × 309,874.50
  4. Step 4: Simplify right side
    199,576.50x = 96,022,205,750.25
  5. Step 5: Solve for x
    x = 96,022,205,750.25/199,576.50
  6. Step 6: Final answer
    x = 481,129.82

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.