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Finding the Third Proportional to 184,725.56 and 397,077.19

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Solution

The third proportional to 184,725.56 and 397,077.19 is: 853,538.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    184,725.56 : 397,077.19 = 397,077.19 : x
  2. Step 2: Convert to fraction form
    184,725.56/397,077.19 = 397,077.19/x
  3. Step 3: Cross multiply
    184,725.56x = 397,077.19 × 397,077.19
  4. Step 4: Simplify right side
    184,725.56x = 157,670,292,832.91
  5. Step 5: Solve for x
    x = 157,670,292,832.91/184,725.56
  6. Step 6: Final answer
    x = 853,538.03

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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.