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Finding the Third Proportional to 180,996 and 366,855

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Solution

The third proportional to 180,996 and 366,855 is: 743,566.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    180,996 : 366,855 = 366,855 : x
  2. Step 2: Convert to fraction form
    180,996/366,855 = 366,855/x
  3. Step 3: Cross multiply
    180,996x = 366,855 × 366,855
  4. Step 4: Simplify right side
    180,996x = 134,582,591,025
  5. Step 5: Solve for x
    x = 134,582,591,025/180,996
  6. Step 6: Final answer
    x = 743,566.66

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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.