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Finding the Third Proportional to 184,148 and 270,390

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Solution

The third proportional to 184,148 and 270,390 is: 397,021.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    184,148 : 270,390 = 270,390 : x
  2. Step 2: Convert to fraction form
    184,148/270,390 = 270,390/x
  3. Step 3: Cross multiply
    184,148x = 270,390 × 270,390
  4. Step 4: Simplify right side
    184,148x = 73,110,752,100
  5. Step 5: Solve for x
    x = 73,110,752,100/184,148
  6. Step 6: Final answer
    x = 397,021.70

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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.