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Finding the Third Proportional to 137.50 and 295.94

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Solution

The third proportional to 137.50 and 295.94 is: 636.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    137.50 : 295.94 = 295.94 : x
  2. Step 2: Convert to fraction form
    137.50/295.94 = 295.94/x
  3. Step 3: Cross multiply
    137.50x = 295.94 × 295.94
  4. Step 4: Simplify right side
    137.50x = 87,579.00
  5. Step 5: Solve for x
    x = 87,579.00/137.50
  6. Step 6: Final answer
    x = 636.94

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.