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Finding the Third Proportional to 72.88 and 155.84

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Solution

The third proportional to 72.88 and 155.84 is: 333.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    72.88 : 155.84 = 155.84 : x
  2. Step 2: Convert to fraction form
    72.88/155.84 = 155.84/x
  3. Step 3: Cross multiply
    72.88x = 155.84 × 155.84
  4. Step 4: Simplify right side
    72.88x = 24,287.27
  5. Step 5: Solve for x
    x = 24,287.27/72.88
  6. Step 6: Final answer
    x = 333.27

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.