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Finding the Third Proportional to 184,719.94 and 397,935

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Solution

The third proportional to 184,719.94 and 397,935 is: 857,255.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    184,719.94 : 397,935 = 397,935 : x
  2. Step 2: Convert to fraction form
    184,719.94/397,935 = 397,935/x
  3. Step 3: Cross multiply
    184,719.94x = 397,935 × 397,935
  4. Step 4: Simplify right side
    184,719.94x = 158,352,264,225
  5. Step 5: Solve for x
    x = 158,352,264,225/184,719.94
  6. Step 6: Final answer
    x = 857,255.94

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.