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Finding the Third Proportional to 184,865.06 and 397,751.06

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Solution

The third proportional to 184,865.06 and 397,751.06 is: 855,791.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    184,865.06 : 397,751.06 = 397,751.06 : x
  2. Step 2: Convert to fraction form
    184,865.06/397,751.06 = 397,751.06/x
  3. Step 3: Cross multiply
    184,865.06x = 397,751.06 × 397,751.06
  4. Step 4: Simplify right side
    184,865.06x = 158,205,907,719.88
  5. Step 5: Solve for x
    x = 158,205,907,719.88/184,865.06
  6. Step 6: Final answer
    x = 855,791.28

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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.