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Finding the Third Proportional to 167,124 and 364,736

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Solution

The third proportional to 167,124 and 364,736 is: 796,009.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    167,124 : 364,736 = 364,736 : x
  2. Step 2: Convert to fraction form
    167,124/364,736 = 364,736/x
  3. Step 3: Cross multiply
    167,124x = 364,736 × 364,736
  4. Step 4: Simplify right side
    167,124x = 133,032,349,696
  5. Step 5: Solve for x
    x = 133,032,349,696/167,124
  6. Step 6: Final answer
    x = 796,009.85

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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.