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Finding the Third Proportional to 157.13 and 331.88

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Solution

The third proportional to 157.13 and 331.88 is: 700.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    157.13 : 331.88 = 331.88 : x
  2. Step 2: Convert to fraction form
    157.13/331.88 = 331.88/x
  3. Step 3: Cross multiply
    157.13x = 331.88 × 331.88
  4. Step 4: Simplify right side
    157.13x = 110,141.02
  5. Step 5: Solve for x
    x = 110,141.02/157.13
  6. Step 6: Final answer
    x = 700.98

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