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Finding the Third Proportional to 137 and 300

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Solution

The third proportional to 137 and 300 is: 656.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    137 : 300 = 300 : x
  2. Step 2: Convert to fraction form
    137/300 = 300/x
  3. Step 3: Cross multiply
    137x = 300 × 300
  4. Step 4: Simplify right side
    137x = 90,000
  5. Step 5: Solve for x
    x = 90,000/137
  6. Step 6: Final answer
    x = 656.93

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.