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Finding the Third Proportional to 167,906 and 232,717

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Solution

The third proportional to 167,906 and 232,717 is: 322,544.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    167,906 : 232,717 = 232,717 : x
  2. Step 2: Convert to fraction form
    167,906/232,717 = 232,717/x
  3. Step 3: Cross multiply
    167,906x = 232,717 × 232,717
  4. Step 4: Simplify right side
    167,906x = 54,157,202,089
  5. Step 5: Solve for x
    x = 54,157,202,089/167,906
  6. Step 6: Final answer
    x = 322,544.77

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Why These Related Problems?

These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.