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Finding the Third Proportional to 88.44 and 172.94

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Solution

The third proportional to 88.44 and 172.94 is: 338.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    88.44 : 172.94 = 172.94 : x
  2. Step 2: Convert to fraction form
    88.44/172.94 = 172.94/x
  3. Step 3: Cross multiply
    88.44x = 172.94 × 172.94
  4. Step 4: Simplify right side
    88.44x = 29,907.38
  5. Step 5: Solve for x
    x = 29,907.38/88.44
  6. Step 6: Final answer
    x = 338.18

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Why These Related Problems?

These problems maintain the same ratio (1.96) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.