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Finding the Third Proportional to 180,985 and 397,662

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Solution

The third proportional to 180,985 and 397,662 is: 873,746.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    180,985 : 397,662 = 397,662 : x
  2. Step 2: Convert to fraction form
    180,985/397,662 = 397,662/x
  3. Step 3: Cross multiply
    180,985x = 397,662 × 397,662
  4. Step 4: Simplify right side
    180,985x = 158,135,066,244
  5. Step 5: Solve for x
    x = 158,135,066,244/180,985
  6. Step 6: Final answer
    x = 873,746.81

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.