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Finding the Third Proportional to 167,865.75 and 237,297.94

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Solution

The third proportional to 167,865.75 and 237,297.94 is: 335,448.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    167,865.75 : 237,297.94 = 237,297.94 : x
  2. Step 2: Convert to fraction form
    167,865.75/237,297.94 = 237,297.94/x
  3. Step 3: Cross multiply
    167,865.75x = 237,297.94 × 237,297.94
  4. Step 4: Simplify right side
    167,865.75x = 56,310,311,141.75
  5. Step 5: Solve for x
    x = 56,310,311,141.75/167,865.75
  6. Step 6: Final answer
    x = 335,448.48

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Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.