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Finding the Third Proportional to 184,670 and 397,586

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Solution

The third proportional to 184,670 and 397,586 is: 855,984.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    184,670 : 397,586 = 397,586 : x
  2. Step 2: Convert to fraction form
    184,670/397,586 = 397,586/x
  3. Step 3: Cross multiply
    184,670x = 397,586 × 397,586
  4. Step 4: Simplify right side
    184,670x = 158,074,627,396
  5. Step 5: Solve for x
    x = 158,074,627,396/184,670
  6. Step 6: Final answer
    x = 855,984.34

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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.