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Finding the Third Proportional to 146.29 and 318.30

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Solution

The third proportional to 146.29 and 318.30 is: 692.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    146.29 : 318.30 = 318.30 : x
  2. Step 2: Convert to fraction form
    146.29/318.30 = 318.30/x
  3. Step 3: Cross multiply
    146.29x = 318.30 × 318.30
  4. Step 4: Simplify right side
    146.29x = 101,317.87
  5. Step 5: Solve for x
    x = 101,317.87/146.29
  6. Step 6: Final answer
    x = 692.61

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.