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Finding the Third Proportional to 146.11 and 219.16

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Solution

The third proportional to 146.11 and 219.16 is: 328.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    146.11 : 219.16 = 219.16 : x
  2. Step 2: Convert to fraction form
    146.11/219.16 = 219.16/x
  3. Step 3: Cross multiply
    146.11x = 219.16 × 219.16
  4. Step 4: Simplify right side
    146.11x = 48,032.89
  5. Step 5: Solve for x
    x = 48,032.89/146.11
  6. Step 6: Final answer
    x = 328.75

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.