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Finding the Third Proportional to 71 and 153.44

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Solution

The third proportional to 71 and 153.44 is: 331.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    71 : 153.44 = 153.44 : x
  2. Step 2: Convert to fraction form
    71/153.44 = 153.44/x
  3. Step 3: Cross multiply
    71x = 153.44 × 153.44
  4. Step 4: Simplify right side
    71x = 23,543.07
  5. Step 5: Solve for x
    x = 23,543.07/71
  6. Step 6: Final answer
    x = 331.59

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These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.