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Finding the Third Proportional to 167,906 and 234,739

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Solution

The third proportional to 167,906 and 234,739 is: 328,174.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    167,906 : 234,739 = 234,739 : x
  2. Step 2: Convert to fraction form
    167,906/234,739 = 234,739/x
  3. Step 3: Cross multiply
    167,906x = 234,739 × 234,739
  4. Step 4: Simplify right side
    167,906x = 55,102,398,121
  5. Step 5: Solve for x
    x = 55,102,398,121/167,906
  6. Step 6: Final answer
    x = 328,174.09

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.