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Finding the Third Proportional to 167,224 and 365,004

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Solution

The third proportional to 167,224 and 365,004 is: 796,703.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    167,224 : 365,004 = 365,004 : x
  2. Step 2: Convert to fraction form
    167,224/365,004 = 365,004/x
  3. Step 3: Cross multiply
    167,224x = 365,004 × 365,004
  4. Step 4: Simplify right side
    167,224x = 133,227,920,016
  5. Step 5: Solve for x
    x = 133,227,920,016/167,224
  6. Step 6: Final answer
    x = 796,703.34

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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.