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Finding the Third Proportional to 167,091 and 364,668

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Solution

The third proportional to 167,091 and 364,668 is: 795,870.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    167,091 : 364,668 = 364,668 : x
  2. Step 2: Convert to fraction form
    167,091/364,668 = 364,668/x
  3. Step 3: Cross multiply
    167,091x = 364,668 × 364,668
  4. Step 4: Simplify right side
    167,091x = 132,982,750,224
  5. Step 5: Solve for x
    x = 132,982,750,224/167,091
  6. Step 6: Final answer
    x = 795,870.22

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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.