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Finding the Third Proportional to 184,660 and 397,562

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Solution

The third proportional to 184,660 and 397,562 is: 855,927.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    184,660 : 397,562 = 397,562 : x
  2. Step 2: Convert to fraction form
    184,660/397,562 = 397,562/x
  3. Step 3: Cross multiply
    184,660x = 397,562 × 397,562
  4. Step 4: Simplify right side
    184,660x = 158,055,543,844
  5. Step 5: Solve for x
    x = 158,055,543,844/184,660
  6. Step 6: Final answer
    x = 855,927.35

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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.