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Finding the Third Proportional to 184,609.50 and 276,607.25

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Solution

The third proportional to 184,609.50 and 276,607.25 is: 414,450.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    184,609.50 : 276,607.25 = 276,607.25 : x
  2. Step 2: Convert to fraction form
    184,609.50/276,607.25 = 276,607.25/x
  3. Step 3: Cross multiply
    184,609.50x = 276,607.25 × 276,607.25
  4. Step 4: Simplify right side
    184,609.50x = 76,511,570,752.56
  5. Step 5: Solve for x
    x = 76,511,570,752.56/184,609.50
  6. Step 6: Final answer
    x = 414,450.89

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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.