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Finding the Third Proportional to 184,912 and 270,786

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Solution

The third proportional to 184,912 and 270,786 is: 396,540.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    184,912 : 270,786 = 270,786 : x
  2. Step 2: Convert to fraction form
    184,912/270,786 = 270,786/x
  3. Step 3: Cross multiply
    184,912x = 270,786 × 270,786
  4. Step 4: Simplify right side
    184,912x = 73,325,057,796
  5. Step 5: Solve for x
    x = 73,325,057,796/184,912
  6. Step 6: Final answer
    x = 396,540.29

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.