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Finding the Third Proportional to 167,563.69 and 364,609.69

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Solution

The third proportional to 167,563.69 and 364,609.69 is: 793,371.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    167,563.69 : 364,609.69 = 364,609.69 : x
  2. Step 2: Convert to fraction form
    167,563.69/364,609.69 = 364,609.69/x
  3. Step 3: Cross multiply
    167,563.69x = 364,609.69 × 364,609.69
  4. Step 4: Simplify right side
    167,563.69x = 132,940,224,218.85
  5. Step 5: Solve for x
    x = 132,940,224,218.85/167,563.69
  6. Step 6: Final answer
    x = 793,371.32

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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.