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Finding the Third Proportional to 184,074 and 397,146

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Solution

The third proportional to 184,074 and 397,146 is: 856,856.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    184,074 : 397,146 = 397,146 : x
  2. Step 2: Convert to fraction form
    184,074/397,146 = 397,146/x
  3. Step 3: Cross multiply
    184,074x = 397,146 × 397,146
  4. Step 4: Simplify right side
    184,074x = 157,724,945,316
  5. Step 5: Solve for x
    x = 157,724,945,316/184,074
  6. Step 6: Final answer
    x = 856,856.18

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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.