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Finding the Third Proportional to 146.18 and 301.85

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Solution

The third proportional to 146.18 and 301.85 is: 623.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    146.18 : 301.85 = 301.85 : x
  2. Step 2: Convert to fraction form
    146.18/301.85 = 301.85/x
  3. Step 3: Cross multiply
    146.18x = 301.85 × 301.85
  4. Step 4: Simplify right side
    146.18x = 91,114.37
  5. Step 5: Solve for x
    x = 91,114.37/146.18
  6. Step 6: Final answer
    x = 623.30

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Why These Related Problems?

These problems maintain the same ratio (2.06) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.