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Finding the Third Proportional to 71.69 and 155.54

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Solution

The third proportional to 71.69 and 155.54 is: 337.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    71.69 : 155.54 = 155.54 : x
  2. Step 2: Convert to fraction form
    71.69/155.54 = 155.54/x
  3. Step 3: Cross multiply
    71.69x = 155.54 × 155.54
  4. Step 4: Simplify right side
    71.69x = 24,192.70
  5. Step 5: Solve for x
    x = 24,192.70/71.69
  6. Step 6: Final answer
    x = 337.45

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.