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Finding the Third Proportional to 137 and 301

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Solution

The third proportional to 137 and 301 is: 661.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    137 : 301 = 301 : x
  2. Step 2: Convert to fraction form
    137/301 = 301/x
  3. Step 3: Cross multiply
    137x = 301 × 301
  4. Step 4: Simplify right side
    137x = 90,601
  5. Step 5: Solve for x
    x = 90,601/137
  6. Step 6: Final answer
    x = 661.32

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.