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Finding the Third Proportional to 192.84 and 452.44

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Solution

The third proportional to 192.84 and 452.44 is: 1,061.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    192.84 : 452.44 = 452.44 : x
  2. Step 2: Convert to fraction form
    192.84/452.44 = 452.44/x
  3. Step 3: Cross multiply
    192.84x = 452.44 × 452.44
  4. Step 4: Simplify right side
    192.84x = 204,699.69
  5. Step 5: Solve for x
    x = 204,699.69/192.84
  6. Step 6: Final answer
    x = 1,061.48

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Why These Related Problems?

These problems maintain the same ratio (2.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.