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Finding the Third Proportional to 184,631 and 401,662

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Solution

The third proportional to 184,631 and 401,662 is: 873,809.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    184,631 : 401,662 = 401,662 : x
  2. Step 2: Convert to fraction form
    184,631/401,662 = 401,662/x
  3. Step 3: Cross multiply
    184,631x = 401,662 × 401,662
  4. Step 4: Simplify right side
    184,631x = 161,332,362,244
  5. Step 5: Solve for x
    x = 161,332,362,244/184,631
  6. Step 6: Final answer
    x = 873,809.72

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.