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Finding the Third Proportional to 190.17 and 412.92

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Solution

The third proportional to 190.17 and 412.92 is: 896.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    190.17 : 412.92 = 412.92 : x
  2. Step 2: Convert to fraction form
    190.17/412.92 = 412.92/x
  3. Step 3: Cross multiply
    190.17x = 412.92 × 412.92
  4. Step 4: Simplify right side
    190.17x = 170,504.47
  5. Step 5: Solve for x
    x = 170,504.47/190.17
  6. Step 6: Final answer
    x = 896.58

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.