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Finding the Third Proportional to 184,204 and 401,712

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Solution

The third proportional to 184,204 and 401,712 is: 876,053.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    184,204 : 401,712 = 401,712 : x
  2. Step 2: Convert to fraction form
    184,204/401,712 = 401,712/x
  3. Step 3: Cross multiply
    184,204x = 401,712 × 401,712
  4. Step 4: Simplify right side
    184,204x = 161,372,530,944
  5. Step 5: Solve for x
    x = 161,372,530,944/184,204
  6. Step 6: Final answer
    x = 876,053.35

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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.