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Finding the Third Proportional to 192.45 and 365.45

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Solution

The third proportional to 192.45 and 365.45 is: 693.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    192.45 : 365.45 = 365.45 : x
  2. Step 2: Convert to fraction form
    192.45/365.45 = 365.45/x
  3. Step 3: Cross multiply
    192.45x = 365.45 × 365.45
  4. Step 4: Simplify right side
    192.45x = 133,553.13
  5. Step 5: Solve for x
    x = 133,553.13/192.45
  6. Step 6: Final answer
    x = 693.95

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Why These Related Problems?

These problems maintain the same ratio (1.90) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.