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Finding the Third Proportional to 158.91 and 242.86

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Solution

The third proportional to 158.91 and 242.86 is: 371.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    158.91 : 242.86 = 242.86 : x
  2. Step 2: Convert to fraction form
    158.91/242.86 = 242.86/x
  3. Step 3: Cross multiply
    158.91x = 242.86 × 242.86
  4. Step 4: Simplify right side
    158.91x = 58,980.68
  5. Step 5: Solve for x
    x = 58,980.68/158.91
  6. Step 6: Final answer
    x = 371.17

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