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Finding the Third Proportional to 167,619 and 364,758

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Solution

The third proportional to 167,619 and 364,758 is: 793,754.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    167,619 : 364,758 = 364,758 : x
  2. Step 2: Convert to fraction form
    167,619/364,758 = 364,758/x
  3. Step 3: Cross multiply
    167,619x = 364,758 × 364,758
  4. Step 4: Simplify right side
    167,619x = 133,048,398,564
  5. Step 5: Solve for x
    x = 133,048,398,564/167,619
  6. Step 6: Final answer
    x = 793,754.88

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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.