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Finding the Third Proportional to 184,561 and 263,922

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Solution

The third proportional to 184,561 and 263,922 is: 377,408.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    184,561 : 263,922 = 263,922 : x
  2. Step 2: Convert to fraction form
    184,561/263,922 = 263,922/x
  3. Step 3: Cross multiply
    184,561x = 263,922 × 263,922
  4. Step 4: Simplify right side
    184,561x = 69,654,822,084
  5. Step 5: Solve for x
    x = 69,654,822,084/184,561
  6. Step 6: Final answer
    x = 377,408.13

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Why These Related Problems?

These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.