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Finding the Third Proportional to 167,916 and 366,648

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Solution

The third proportional to 167,916 and 366,648 is: 800,583.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    167,916 : 366,648 = 366,648 : x
  2. Step 2: Convert to fraction form
    167,916/366,648 = 366,648/x
  3. Step 3: Cross multiply
    167,916x = 366,648 × 366,648
  4. Step 4: Simplify right side
    167,916x = 134,430,755,904
  5. Step 5: Solve for x
    x = 134,430,755,904/167,916
  6. Step 6: Final answer
    x = 800,583.36

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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.