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Finding the Third Proportional to 184,038 and 397,074

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Solution

The third proportional to 184,038 and 397,074 is: 856,713.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    184,038 : 397,074 = 397,074 : x
  2. Step 2: Convert to fraction form
    184,038/397,074 = 397,074/x
  3. Step 3: Cross multiply
    184,038x = 397,074 × 397,074
  4. Step 4: Simplify right side
    184,038x = 157,667,761,476
  5. Step 5: Solve for x
    x = 157,667,761,476/184,038
  6. Step 6: Final answer
    x = 856,713.08

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.