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Finding the Third Proportional to 184,658 and 397,558

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Solution

The third proportional to 184,658 and 397,558 is: 855,919.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    184,658 : 397,558 = 397,558 : x
  2. Step 2: Convert to fraction form
    184,658/397,558 = 397,558/x
  3. Step 3: Cross multiply
    184,658x = 397,558 × 397,558
  4. Step 4: Simplify right side
    184,658x = 158,052,363,364
  5. Step 5: Solve for x
    x = 158,052,363,364/184,658
  6. Step 6: Final answer
    x = 855,919.39

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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.