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Finding the Third Proportional to 140,106.75 and 290,183.25

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Solution

The third proportional to 140,106.75 and 290,183.25 is: 601,015.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    140,106.75 : 290,183.25 = 290,183.25 : x
  2. Step 2: Convert to fraction form
    140,106.75/290,183.25 = 290,183.25/x
  3. Step 3: Cross multiply
    140,106.75x = 290,183.25 × 290,183.25
  4. Step 4: Simplify right side
    140,106.75x = 84,206,318,580.56
  5. Step 5: Solve for x
    x = 84,206,318,580.56/140,106.75
  6. Step 6: Final answer
    x = 601,015.43

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Why These Related Problems?

These problems maintain the same ratio (2.07) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.