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Finding the Third Proportional to 190.69 and 449.09

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Solution

The third proportional to 190.69 and 449.09 is: 1,057.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    190.69 : 449.09 = 449.09 : x
  2. Step 2: Convert to fraction form
    190.69/449.09 = 449.09/x
  3. Step 3: Cross multiply
    190.69x = 449.09 × 449.09
  4. Step 4: Simplify right side
    190.69x = 201,678.18
  5. Step 5: Solve for x
    x = 201,678.18/190.69
  6. Step 6: Final answer
    x = 1,057.64

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Why These Related Problems?

These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.