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Finding the Third Proportional to 192.93 and 416.83

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Solution

The third proportional to 192.93 and 416.83 is: 900.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    192.93 : 416.83 = 416.83 : x
  2. Step 2: Convert to fraction form
    192.93/416.83 = 416.83/x
  3. Step 3: Cross multiply
    192.93x = 416.83 × 416.83
  4. Step 4: Simplify right side
    192.93x = 173,743.65
  5. Step 5: Solve for x
    x = 173,743.65/192.93
  6. Step 6: Final answer
    x = 900.56

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.