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Finding the Third Proportional to 184,082 and 443,346

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Solution

The third proportional to 184,082 and 443,346 is: 1,067,761.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    184,082 : 443,346 = 443,346 : x
  2. Step 2: Convert to fraction form
    184,082/443,346 = 443,346/x
  3. Step 3: Cross multiply
    184,082x = 443,346 × 443,346
  4. Step 4: Simplify right side
    184,082x = 196,555,675,716
  5. Step 5: Solve for x
    x = 196,555,675,716/184,082
  6. Step 6: Final answer
    x = 1,067,761.52

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Why These Related Problems?

These problems maintain the same ratio (2.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.