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Finding the Third Proportional to 71.16 and 156.52

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Solution

The third proportional to 71.16 and 156.52 is: 344.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    71.16 : 156.52 = 156.52 : x
  2. Step 2: Convert to fraction form
    71.16/156.52 = 156.52/x
  3. Step 3: Cross multiply
    71.16x = 156.52 × 156.52
  4. Step 4: Simplify right side
    71.16x = 24,497.14
  5. Step 5: Solve for x
    x = 24,497.14/71.16
  6. Step 6: Final answer
    x = 344.27

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These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.