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Finding the Third Proportional to 172.25 and 370.94

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Solution

The third proportional to 172.25 and 370.94 is: 798.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    172.25 : 370.94 = 370.94 : x
  2. Step 2: Convert to fraction form
    172.25/370.94 = 370.94/x
  3. Step 3: Cross multiply
    172.25x = 370.94 × 370.94
  4. Step 4: Simplify right side
    172.25x = 137,594.63
  5. Step 5: Solve for x
    x = 137,594.63/172.25
  6. Step 6: Final answer
    x = 798.81

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.