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Finding the Third Proportional to 157.62 and 237.86

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Solution

The third proportional to 157.62 and 237.86 is: 358.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    157.62 : 237.86 = 237.86 : x
  2. Step 2: Convert to fraction form
    157.62/237.86 = 237.86/x
  3. Step 3: Cross multiply
    157.62x = 237.86 × 237.86
  4. Step 4: Simplify right side
    157.62x = 56,576.62
  5. Step 5: Solve for x
    x = 56,576.62/157.62
  6. Step 6: Final answer
    x = 358.94

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.