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Finding the Third Proportional to 184,392.75 and 288,003

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Solution

The third proportional to 184,392.75 and 288,003 is: 449,831.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    184,392.75 : 288,003 = 288,003 : x
  2. Step 2: Convert to fraction form
    184,392.75/288,003 = 288,003/x
  3. Step 3: Cross multiply
    184,392.75x = 288,003 × 288,003
  4. Step 4: Simplify right side
    184,392.75x = 82,945,728,009
  5. Step 5: Solve for x
    x = 82,945,728,009/184,392.75
  6. Step 6: Final answer
    x = 449,831.83

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These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.