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Finding the Third Proportional to 184,063.50 and 394,348.50

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Solution

The third proportional to 184,063.50 and 394,348.50 is: 844,875.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    184,063.50 : 394,348.50 = 394,348.50 : x
  2. Step 2: Convert to fraction form
    184,063.50/394,348.50 = 394,348.50/x
  3. Step 3: Cross multiply
    184,063.50x = 394,348.50 × 394,348.50
  4. Step 4: Simplify right side
    184,063.50x = 155,510,739,452.25
  5. Step 5: Solve for x
    x = 155,510,739,452.25/184,063.50
  6. Step 6: Final answer
    x = 844,875.49

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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.