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Finding the Third Proportional to 199,022.25 and 297,804

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Solution

The third proportional to 199,022.25 and 297,804 is: 445,614.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    199,022.25 : 297,804 = 297,804 : x
  2. Step 2: Convert to fraction form
    199,022.25/297,804 = 297,804/x
  3. Step 3: Cross multiply
    199,022.25x = 297,804 × 297,804
  4. Step 4: Simplify right side
    199,022.25x = 88,687,222,416
  5. Step 5: Solve for x
    x = 88,687,222,416/199,022.25
  6. Step 6: Final answer
    x = 445,614.61

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Why These Related Problems?

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