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Finding the Third Proportional to 184,041 and 397,077.75

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Solution

The third proportional to 184,041 and 397,077.75 is: 856,715.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    184,041 : 397,077.75 = 397,077.75 : x
  2. Step 2: Convert to fraction form
    184,041/397,077.75 = 397,077.75/x
  3. Step 3: Cross multiply
    184,041x = 397,077.75 × 397,077.75
  4. Step 4: Simplify right side
    184,041x = 157,670,739,545.06
  5. Step 5: Solve for x
    x = 157,670,739,545.06/184,041
  6. Step 6: Final answer
    x = 856,715.29

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.