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Finding the Third Proportional to 192.75 and 409.52

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Solution

The third proportional to 192.75 and 409.52 is: 870.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    192.75 : 409.52 = 409.52 : x
  2. Step 2: Convert to fraction form
    192.75/409.52 = 409.52/x
  3. Step 3: Cross multiply
    192.75x = 409.52 × 409.52
  4. Step 4: Simplify right side
    192.75x = 167,709.45
  5. Step 5: Solve for x
    x = 167,709.45/192.75
  6. Step 6: Final answer
    x = 870.09

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.