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Finding the Third Proportional to 190.72 and 295.94

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Solution

The third proportional to 190.72 and 295.94 is: 459.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    190.72 : 295.94 = 295.94 : x
  2. Step 2: Convert to fraction form
    190.72/295.94 = 295.94/x
  3. Step 3: Cross multiply
    190.72x = 295.94 × 295.94
  4. Step 4: Simplify right side
    190.72x = 87,579.00
  5. Step 5: Solve for x
    x = 87,579.00/190.72
  6. Step 6: Final answer
    x = 459.21

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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.