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Finding the Third Proportional to 182,690 and 273,290

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Solution

The third proportional to 182,690 and 273,290 is: 408,820.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    182,690 : 273,290 = 273,290 : x
  2. Step 2: Convert to fraction form
    182,690/273,290 = 273,290/x
  3. Step 3: Cross multiply
    182,690x = 273,290 × 273,290
  4. Step 4: Simplify right side
    182,690x = 74,687,424,100
  5. Step 5: Solve for x
    x = 74,687,424,100/182,690
  6. Step 6: Final answer
    x = 408,820.54

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.