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Finding the Third Proportional to 199.69 and 490.78

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Solution

The third proportional to 199.69 and 490.78 is: 1,206.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    199.69 : 490.78 = 490.78 : x
  2. Step 2: Convert to fraction form
    199.69/490.78 = 490.78/x
  3. Step 3: Cross multiply
    199.69x = 490.78 × 490.78
  4. Step 4: Simplify right side
    199.69x = 240,866.24
  5. Step 5: Solve for x
    x = 240,866.24/199.69
  6. Step 6: Final answer
    x = 1,206.22

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Why These Related Problems?

These problems maintain the same ratio (2.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.