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Finding the Third Proportional to 184,098 and 394,410

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Solution

The third proportional to 184,098 and 394,410 is: 844,980.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    184,098 : 394,410 = 394,410 : x
  2. Step 2: Convert to fraction form
    184,098/394,410 = 394,410/x
  3. Step 3: Cross multiply
    184,098x = 394,410 × 394,410
  4. Step 4: Simplify right side
    184,098x = 155,559,248,100
  5. Step 5: Solve for x
    x = 155,559,248,100/184,098
  6. Step 6: Final answer
    x = 844,980.65

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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.