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Finding the Third Proportional to 180,999 and 389,616

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Solution

The third proportional to 180,999 and 389,616 is: 838,682.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    180,999 : 389,616 = 389,616 : x
  2. Step 2: Convert to fraction form
    180,999/389,616 = 389,616/x
  3. Step 3: Cross multiply
    180,999x = 389,616 × 389,616
  4. Step 4: Simplify right side
    180,999x = 151,800,627,456
  5. Step 5: Solve for x
    x = 151,800,627,456/180,999
  6. Step 6: Final answer
    x = 838,682.13

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.