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Finding the Third Proportional to 182,256.75 and 273,384

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Solution

The third proportional to 182,256.75 and 273,384 is: 410,074.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    182,256.75 : 273,384 = 273,384 : x
  2. Step 2: Convert to fraction form
    182,256.75/273,384 = 273,384/x
  3. Step 3: Cross multiply
    182,256.75x = 273,384 × 273,384
  4. Step 4: Simplify right side
    182,256.75x = 74,738,811,456
  5. Step 5: Solve for x
    x = 74,738,811,456/182,256.75
  6. Step 6: Final answer
    x = 410,074.31

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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.