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Finding the Third Proportional to 184,741 and 398,642

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Solution

The third proportional to 184,741 and 398,642 is: 860,206.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    184,741 : 398,642 = 398,642 : x
  2. Step 2: Convert to fraction form
    184,741/398,642 = 398,642/x
  3. Step 3: Cross multiply
    184,741x = 398,642 × 398,642
  4. Step 4: Simplify right side
    184,741x = 158,915,444,164
  5. Step 5: Solve for x
    x = 158,915,444,164/184,741
  6. Step 6: Final answer
    x = 860,206.69

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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.