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Finding the Third Proportional to 167,936 and 345,724

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Solution

The third proportional to 167,936 and 345,724 is: 711,729.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    167,936 : 345,724 = 345,724 : x
  2. Step 2: Convert to fraction form
    167,936/345,724 = 345,724/x
  3. Step 3: Cross multiply
    167,936x = 345,724 × 345,724
  4. Step 4: Simplify right side
    167,936x = 119,525,084,176
  5. Step 5: Solve for x
    x = 119,525,084,176/167,936
  6. Step 6: Final answer
    x = 711,729.97

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Why These Related Problems?

These problems maintain the same ratio (2.06) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.