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Finding the Third Proportional to 150.88 and 341.94

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Solution

The third proportional to 150.88 and 341.94 is: 774.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    150.88 : 341.94 = 341.94 : x
  2. Step 2: Convert to fraction form
    150.88/341.94 = 341.94/x
  3. Step 3: Cross multiply
    150.88x = 341.94 × 341.94
  4. Step 4: Simplify right side
    150.88x = 116,921.25
  5. Step 5: Solve for x
    x = 116,921.25/150.88
  6. Step 6: Final answer
    x = 774.95

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These problems maintain the same ratio (2.27) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.