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Finding the Third Proportional to 184,485.94 and 277,298.44

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Solution

The third proportional to 184,485.94 and 277,298.44 is: 416,803.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    184,485.94 : 277,298.44 = 277,298.44 : x
  2. Step 2: Convert to fraction form
    184,485.94/277,298.44 = 277,298.44/x
  3. Step 3: Cross multiply
    184,485.94x = 277,298.44 × 277,298.44
  4. Step 4: Simplify right side
    184,485.94x = 76,894,423,439.94
  5. Step 5: Solve for x
    x = 76,894,423,439.94/184,485.94
  6. Step 6: Final answer
    x = 416,803.71

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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.