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Finding the Third Proportional to 190.69 and 294.05

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Solution

The third proportional to 190.69 and 294.05 is: 453.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    190.69 : 294.05 = 294.05 : x
  2. Step 2: Convert to fraction form
    190.69/294.05 = 294.05/x
  3. Step 3: Cross multiply
    190.69x = 294.05 × 294.05
  4. Step 4: Simplify right side
    190.69x = 86,463.56
  5. Step 5: Solve for x
    x = 86,463.56/190.69
  6. Step 6: Final answer
    x = 453.43

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.