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Finding the Third Proportional to 183,726 and 275,589

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Solution

The third proportional to 183,726 and 275,589 is: 413,383.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    183,726 : 275,589 = 275,589 : x
  2. Step 2: Convert to fraction form
    183,726/275,589 = 275,589/x
  3. Step 3: Cross multiply
    183,726x = 275,589 × 275,589
  4. Step 4: Simplify right side
    183,726x = 75,949,296,921
  5. Step 5: Solve for x
    x = 75,949,296,921/183,726
  6. Step 6: Final answer
    x = 413,383.50

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.