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Finding the Third Proportional to 152.82 and 331.28

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Solution

The third proportional to 152.82 and 331.28 is: 718.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    152.82 : 331.28 = 331.28 : x
  2. Step 2: Convert to fraction form
    152.82/331.28 = 331.28/x
  3. Step 3: Cross multiply
    152.82x = 331.28 × 331.28
  4. Step 4: Simplify right side
    152.82x = 109,744.68
  5. Step 5: Solve for x
    x = 109,744.68/152.82
  6. Step 6: Final answer
    x = 718.11

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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.