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Finding the Third Proportional to 184,182 and 401,676

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Solution

The third proportional to 184,182 and 401,676 is: 876,000.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    184,182 : 401,676 = 401,676 : x
  2. Step 2: Convert to fraction form
    184,182/401,676 = 401,676/x
  3. Step 3: Cross multiply
    184,182x = 401,676 × 401,676
  4. Step 4: Simplify right side
    184,182x = 161,343,608,976
  5. Step 5: Solve for x
    x = 161,343,608,976/184,182
  6. Step 6: Final answer
    x = 876,000.96

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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.