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Finding the Third Proportional to 148.61 and 352.11

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Solution

The third proportional to 148.61 and 352.11 is: 834.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    148.61 : 352.11 = 352.11 : x
  2. Step 2: Convert to fraction form
    148.61/352.11 = 352.11/x
  3. Step 3: Cross multiply
    148.61x = 352.11 × 352.11
  4. Step 4: Simplify right side
    148.61x = 123,979.64
  5. Step 5: Solve for x
    x = 123,979.64/148.61
  6. Step 6: Final answer
    x = 834.29

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Why These Related Problems?

These problems maintain the same ratio (2.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.