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Finding the Third Proportional to 190.24 and 410.92

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Solution

The third proportional to 190.24 and 410.92 is: 887.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    190.24 : 410.92 = 410.92 : x
  2. Step 2: Convert to fraction form
    190.24/410.92 = 410.92/x
  3. Step 3: Cross multiply
    190.24x = 410.92 × 410.92
  4. Step 4: Simplify right side
    190.24x = 168,854.97
  5. Step 5: Solve for x
    x = 168,854.97/190.24
  6. Step 6: Final answer
    x = 887.59

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.