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Finding the Third Proportional to 180,014 and 393,916

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Solution

The third proportional to 180,014 and 393,916 is: 861,987.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    180,014 : 393,916 = 393,916 : x
  2. Step 2: Convert to fraction form
    180,014/393,916 = 393,916/x
  3. Step 3: Cross multiply
    180,014x = 393,916 × 393,916
  4. Step 4: Simplify right side
    180,014x = 155,169,815,056
  5. Step 5: Solve for x
    x = 155,169,815,056/180,014
  6. Step 6: Final answer
    x = 861,987.48

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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.