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Finding the Third Proportional to 192.38 and 424.55

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Solution

The third proportional to 192.38 and 424.55 is: 936.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    192.38 : 424.55 = 424.55 : x
  2. Step 2: Convert to fraction form
    192.38/424.55 = 424.55/x
  3. Step 3: Cross multiply
    192.38x = 424.55 × 424.55
  4. Step 4: Simplify right side
    192.38x = 180,240.05
  5. Step 5: Solve for x
    x = 180,240.05/192.38
  6. Step 6: Final answer
    x = 936.92

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Why These Related Problems?

These problems maintain the same ratio (2.21) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.