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Finding the Third Proportional to 185,009 and 396,263

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Solution

The third proportional to 185,009 and 396,263 is: 848,739.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    185,009 : 396,263 = 396,263 : x
  2. Step 2: Convert to fraction form
    185,009/396,263 = 396,263/x
  3. Step 3: Cross multiply
    185,009x = 396,263 × 396,263
  4. Step 4: Simplify right side
    185,009x = 157,024,365,169
  5. Step 5: Solve for x
    x = 157,024,365,169/185,009
  6. Step 6: Final answer
    x = 848,739.06

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.