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Finding the Third Proportional to 71.30 and 155.39

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Solution

The third proportional to 71.30 and 155.39 is: 338.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    71.30 : 155.39 = 155.39 : x
  2. Step 2: Convert to fraction form
    71.30/155.39 = 155.39/x
  3. Step 3: Cross multiply
    71.30x = 155.39 × 155.39
  4. Step 4: Simplify right side
    71.30x = 24,146.25
  5. Step 5: Solve for x
    x = 24,146.25/71.30
  6. Step 6: Final answer
    x = 338.67

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.