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Finding the Third Proportional to 192.22 and 414.81

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Solution

The third proportional to 192.22 and 414.81 is: 895.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    192.22 : 414.81 = 414.81 : x
  2. Step 2: Convert to fraction form
    192.22/414.81 = 414.81/x
  3. Step 3: Cross multiply
    192.22x = 414.81 × 414.81
  4. Step 4: Simplify right side
    192.22x = 172,066.17
  5. Step 5: Solve for x
    x = 172,066.17/192.22
  6. Step 6: Final answer
    x = 895.17

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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.