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Finding the Third Proportional to 172.44 and 258.82

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Solution

The third proportional to 172.44 and 258.82 is: 388.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    172.44 : 258.82 = 258.82 : x
  2. Step 2: Convert to fraction form
    172.44/258.82 = 258.82/x
  3. Step 3: Cross multiply
    172.44x = 258.82 × 258.82
  4. Step 4: Simplify right side
    172.44x = 66,987.95
  5. Step 5: Solve for x
    x = 66,987.95/172.44
  6. Step 6: Final answer
    x = 388.47

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.