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Finding the Third Proportional to 184,710 and 397,671

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Solution

The third proportional to 184,710 and 397,671 is: 856,164.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    184,710 : 397,671 = 397,671 : x
  2. Step 2: Convert to fraction form
    184,710/397,671 = 397,671/x
  3. Step 3: Cross multiply
    184,710x = 397,671 × 397,671
  4. Step 4: Simplify right side
    184,710x = 158,142,224,241
  5. Step 5: Solve for x
    x = 158,142,224,241/184,710
  6. Step 6: Final answer
    x = 856,164.93

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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.