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Finding the Third Proportional to 184,095 and 397,161

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Solution

The third proportional to 184,095 and 397,161 is: 856,823.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    184,095 : 397,161 = 397,161 : x
  2. Step 2: Convert to fraction form
    184,095/397,161 = 397,161/x
  3. Step 3: Cross multiply
    184,095x = 397,161 × 397,161
  4. Step 4: Simplify right side
    184,095x = 157,736,859,921
  5. Step 5: Solve for x
    x = 157,736,859,921/184,095
  6. Step 6: Final answer
    x = 856,823.16

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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.