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Finding the Third Proportional to 184,657 and 394,910

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Solution

The third proportional to 184,657 and 394,910 is: 844,559.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    184,657 : 394,910 = 394,910 : x
  2. Step 2: Convert to fraction form
    184,657/394,910 = 394,910/x
  3. Step 3: Cross multiply
    184,657x = 394,910 × 394,910
  4. Step 4: Simplify right side
    184,657x = 155,953,908,100
  5. Step 5: Solve for x
    x = 155,953,908,100/184,657
  6. Step 6: Final answer
    x = 844,559.96

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.