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Finding the Third Proportional to 139,806 and 303,912

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Solution

The third proportional to 139,806 and 303,912 is: 660,647.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    139,806 : 303,912 = 303,912 : x
  2. Step 2: Convert to fraction form
    139,806/303,912 = 303,912/x
  3. Step 3: Cross multiply
    139,806x = 303,912 × 303,912
  4. Step 4: Simplify right side
    139,806x = 92,362,503,744
  5. Step 5: Solve for x
    x = 92,362,503,744/139,806
  6. Step 6: Final answer
    x = 660,647.64

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.