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Finding the Third Proportional to 184,620 and 276,623

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Solution

The third proportional to 184,620 and 276,623 is: 414,474.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    184,620 : 276,623 = 276,623 : x
  2. Step 2: Convert to fraction form
    184,620/276,623 = 276,623/x
  3. Step 3: Cross multiply
    184,620x = 276,623 × 276,623
  4. Step 4: Simplify right side
    184,620x = 76,520,284,129
  5. Step 5: Solve for x
    x = 76,520,284,129/184,620
  6. Step 6: Final answer
    x = 414,474.51

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.