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Finding the Third Proportional to 167,576 and 364,634

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Solution

The third proportional to 167,576 and 364,634 is: 793,418.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    167,576 : 364,634 = 364,634 : x
  2. Step 2: Convert to fraction form
    167,576/364,634 = 364,634/x
  3. Step 3: Cross multiply
    167,576x = 364,634 × 364,634
  4. Step 4: Simplify right side
    167,576x = 132,957,953,956
  5. Step 5: Solve for x
    x = 132,957,953,956/167,576
  6. Step 6: Final answer
    x = 793,418.83

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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.