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Finding the Third Proportional to 190.75 and 410.94

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Solution

The third proportional to 190.75 and 410.94 is: 885.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    190.75 : 410.94 = 410.94 : x
  2. Step 2: Convert to fraction form
    190.75/410.94 = 410.94/x
  3. Step 3: Cross multiply
    190.75x = 410.94 × 410.94
  4. Step 4: Simplify right side
    190.75x = 168,869.63
  5. Step 5: Solve for x
    x = 168,869.63/190.75
  6. Step 6: Final answer
    x = 885.29

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.