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Finding the Third Proportional to 184,087 and 397,169

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Solution

The third proportional to 184,087 and 397,169 is: 856,894.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    184,087 : 397,169 = 397,169 : x
  2. Step 2: Convert to fraction form
    184,087/397,169 = 397,169/x
  3. Step 3: Cross multiply
    184,087x = 397,169 × 397,169
  4. Step 4: Simplify right side
    184,087x = 157,743,214,561
  5. Step 5: Solve for x
    x = 157,743,214,561/184,087
  6. Step 6: Final answer
    x = 856,894.92

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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.