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Finding the Third Proportional to 183,435.75 and 274,310.06

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Solution

The third proportional to 183,435.75 and 274,310.06 is: 410,203.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    183,435.75 : 274,310.06 = 274,310.06 : x
  2. Step 2: Convert to fraction form
    183,435.75/274,310.06 = 274,310.06/x
  3. Step 3: Cross multiply
    183,435.75x = 274,310.06 × 274,310.06
  4. Step 4: Simplify right side
    183,435.75x = 75,246,010,388.75
  5. Step 5: Solve for x
    x = 75,246,010,388.75/183,435.75
  6. Step 6: Final answer
    x = 410,203.63

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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.