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Finding the Third Proportional to 184,578 and 263,947

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Solution

The third proportional to 184,578 and 263,947 is: 377,444.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    184,578 : 263,947 = 263,947 : x
  2. Step 2: Convert to fraction form
    184,578/263,947 = 263,947/x
  3. Step 3: Cross multiply
    184,578x = 263,947 × 263,947
  4. Step 4: Simplify right side
    184,578x = 69,668,018,809
  5. Step 5: Solve for x
    x = 69,668,018,809/184,578
  6. Step 6: Final answer
    x = 377,444.87

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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.