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Finding the Third Proportional to 180,012 and 393,912

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Solution

The third proportional to 180,012 and 393,912 is: 861,979.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    180,012 : 393,912 = 393,912 : x
  2. Step 2: Convert to fraction form
    180,012/393,912 = 393,912/x
  3. Step 3: Cross multiply
    180,012x = 393,912 × 393,912
  4. Step 4: Simplify right side
    180,012x = 155,166,663,744
  5. Step 5: Solve for x
    x = 155,166,663,744/180,012
  6. Step 6: Final answer
    x = 861,979.56

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.