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Finding the Third Proportional to 184,744.50 and 397,975.50

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Solution

The third proportional to 184,744.50 and 397,975.50 is: 857,316.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    184,744.50 : 397,975.50 = 397,975.50 : x
  2. Step 2: Convert to fraction form
    184,744.50/397,975.50 = 397,975.50/x
  3. Step 3: Cross multiply
    184,744.50x = 397,975.50 × 397,975.50
  4. Step 4: Simplify right side
    184,744.50x = 158,384,498,600.25
  5. Step 5: Solve for x
    x = 158,384,498,600.25/184,744.50
  6. Step 6: Final answer
    x = 857,316.45

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.