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Finding the Third Proportional to 180,902 and 366,916

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Solution

The third proportional to 180,902 and 366,916 is: 744,200.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    180,902 : 366,916 = 366,916 : x
  2. Step 2: Convert to fraction form
    180,902/366,916 = 366,916/x
  3. Step 3: Cross multiply
    180,902x = 366,916 × 366,916
  4. Step 4: Simplify right side
    180,902x = 134,627,351,056
  5. Step 5: Solve for x
    x = 134,627,351,056/180,902
  6. Step 6: Final answer
    x = 744,200.46

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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.