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Finding the Third Proportional to 157.94 and 241.94

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Solution

The third proportional to 157.94 and 241.94 is: 370.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    157.94 : 241.94 = 241.94 : x
  2. Step 2: Convert to fraction form
    157.94/241.94 = 241.94/x
  3. Step 3: Cross multiply
    157.94x = 241.94 × 241.94
  4. Step 4: Simplify right side
    157.94x = 58,533.75
  5. Step 5: Solve for x
    x = 58,533.75/157.94
  6. Step 6: Final answer
    x = 370.61

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.