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Finding the Third Proportional to 167,724 and 364,972

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Solution

The third proportional to 167,724 and 364,972 is: 794,189.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    167,724 : 364,972 = 364,972 : x
  2. Step 2: Convert to fraction form
    167,724/364,972 = 364,972/x
  3. Step 3: Cross multiply
    167,724x = 364,972 × 364,972
  4. Step 4: Simplify right side
    167,724x = 133,204,560,784
  5. Step 5: Solve for x
    x = 133,204,560,784/167,724
  6. Step 6: Final answer
    x = 794,189.03

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.