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Finding the Third Proportional to 157.06 and 331.94

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Solution

The third proportional to 157.06 and 331.94 is: 701.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    157.06 : 331.94 = 331.94 : x
  2. Step 2: Convert to fraction form
    157.06/331.94 = 331.94/x
  3. Step 3: Cross multiply
    157.06x = 331.94 × 331.94
  4. Step 4: Simplify right side
    157.06x = 110,182.50
  5. Step 5: Solve for x
    x = 110,182.50/157.06
  6. Step 6: Final answer
    x = 701.52

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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.