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Finding the Third Proportional to 149,866 and 323,722

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Solution

The third proportional to 149,866 and 323,722 is: 699,264.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    149,866 : 323,722 = 323,722 : x
  2. Step 2: Convert to fraction form
    149,866/323,722 = 323,722/x
  3. Step 3: Cross multiply
    149,866x = 323,722 × 323,722
  4. Step 4: Simplify right side
    149,866x = 104,795,933,284
  5. Step 5: Solve for x
    x = 104,795,933,284/149,866
  6. Step 6: Final answer
    x = 699,264.23

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.