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Finding the Third Proportional to 184,104 and 270,114

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Solution

The third proportional to 184,104 and 270,114 is: 396,306.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    184,104 : 270,114 = 270,114 : x
  2. Step 2: Convert to fraction form
    184,104/270,114 = 270,114/x
  3. Step 3: Cross multiply
    184,104x = 270,114 × 270,114
  4. Step 4: Simplify right side
    184,104x = 72,961,572,996
  5. Step 5: Solve for x
    x = 72,961,572,996/184,104
  6. Step 6: Final answer
    x = 396,306.29

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.