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Finding the Third Proportional to 184,692 and 397,632

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Solution

The third proportional to 184,692 and 397,632 is: 856,080.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    184,692 : 397,632 = 397,632 : x
  2. Step 2: Convert to fraction form
    184,692/397,632 = 397,632/x
  3. Step 3: Cross multiply
    184,692x = 397,632 × 397,632
  4. Step 4: Simplify right side
    184,692x = 158,111,207,424
  5. Step 5: Solve for x
    x = 158,111,207,424/184,692
  6. Step 6: Final answer
    x = 856,080.43

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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.