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Finding the Third Proportional to 184,811 and 398,044

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Solution

The third proportional to 184,811 and 398,044 is: 857,303.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    184,811 : 398,044 = 398,044 : x
  2. Step 2: Convert to fraction form
    184,811/398,044 = 398,044/x
  3. Step 3: Cross multiply
    184,811x = 398,044 × 398,044
  4. Step 4: Simplify right side
    184,811x = 158,439,025,936
  5. Step 5: Solve for x
    x = 158,439,025,936/184,811
  6. Step 6: Final answer
    x = 857,303.01

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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.