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Finding the Third Proportional to 184,230 and 270,300

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Solution

The third proportional to 184,230 and 270,300 is: 396,580.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    184,230 : 270,300 = 270,300 : x
  2. Step 2: Convert to fraction form
    184,230/270,300 = 270,300/x
  3. Step 3: Cross multiply
    184,230x = 270,300 × 270,300
  4. Step 4: Simplify right side
    184,230x = 73,062,090,000
  5. Step 5: Solve for x
    x = 73,062,090,000/184,230
  6. Step 6: Final answer
    x = 396,580.85

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