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Finding the Third Proportional to 167,160.38 and 364,786.88

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Solution

The third proportional to 167,160.38 and 364,786.88 is: 796,058.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    167,160.38 : 364,786.88 = 364,786.88 : x
  2. Step 2: Convert to fraction form
    167,160.38/364,786.88 = 364,786.88/x
  3. Step 3: Cross multiply
    167,160.38x = 364,786.88 × 364,786.88
  4. Step 4: Simplify right side
    167,160.38x = 133,069,464,172.27
  5. Step 5: Solve for x
    x = 133,069,464,172.27/167,160.38
  6. Step 6: Final answer
    x = 796,058.66

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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.