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Finding the Third Proportional to 192.80 and 415.55

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Solution

The third proportional to 192.80 and 415.55 is: 895.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    192.80 : 415.55 = 415.55 : x
  2. Step 2: Convert to fraction form
    192.80/415.55 = 415.55/x
  3. Step 3: Cross multiply
    192.80x = 415.55 × 415.55
  4. Step 4: Simplify right side
    192.80x = 172,679.21
  5. Step 5: Solve for x
    x = 172,679.21/192.80
  6. Step 6: Final answer
    x = 895.65

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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.