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Finding the Third Proportional to 180,842 and 366,796

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Solution

The third proportional to 180,842 and 366,796 is: 743,960.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    180,842 : 366,796 = 366,796 : x
  2. Step 2: Convert to fraction form
    180,842/366,796 = 366,796/x
  3. Step 3: Cross multiply
    180,842x = 366,796 × 366,796
  4. Step 4: Simplify right side
    180,842x = 134,539,305,616
  5. Step 5: Solve for x
    x = 134,539,305,616/180,842
  6. Step 6: Final answer
    x = 743,960.50

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Why These Related Problems?

These problems maintain the same ratio (2.03) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.