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Finding the Third Proportional to 185 and 301

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Solution

The third proportional to 185 and 301 is: 489.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    185 : 301 = 301 : x
  2. Step 2: Convert to fraction form
    185/301 = 301/x
  3. Step 3: Cross multiply
    185x = 301 × 301
  4. Step 4: Simplify right side
    185x = 90,601
  5. Step 5: Solve for x
    x = 90,601/185
  6. Step 6: Final answer
    x = 489.74

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Why These Related Problems?

These problems maintain the same ratio (1.63) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.