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Finding the Third Proportional to 184,783 and 257,449

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Solution

The third proportional to 184,783 and 257,449 is: 358,690.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    184,783 : 257,449 = 257,449 : x
  2. Step 2: Convert to fraction form
    184,783/257,449 = 257,449/x
  3. Step 3: Cross multiply
    184,783x = 257,449 × 257,449
  4. Step 4: Simplify right side
    184,783x = 66,279,987,601
  5. Step 5: Solve for x
    x = 66,279,987,601/184,783
  6. Step 6: Final answer
    x = 358,690.94

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Why These Related Problems?

These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.