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Finding the Third Proportional to 157.97 and 333.97

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Solution

The third proportional to 157.97 and 333.97 is: 706.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    157.97 : 333.97 = 333.97 : x
  2. Step 2: Convert to fraction form
    157.97/333.97 = 333.97/x
  3. Step 3: Cross multiply
    157.97x = 333.97 × 333.97
  4. Step 4: Simplify right side
    157.97x = 111,533.82
  5. Step 5: Solve for x
    x = 111,533.82/157.97
  6. Step 6: Final answer
    x = 706.06

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Why These Related Problems?

These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.