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Finding the Third Proportional to 197,524 and 282,256

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Solution

The third proportional to 197,524 and 282,256 is: 403,335.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    197,524 : 282,256 = 282,256 : x
  2. Step 2: Convert to fraction form
    197,524/282,256 = 282,256/x
  3. Step 3: Cross multiply
    197,524x = 282,256 × 282,256
  4. Step 4: Simplify right side
    197,524x = 79,668,449,536
  5. Step 5: Solve for x
    x = 79,668,449,536/197,524
  6. Step 6: Final answer
    x = 403,335.54

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Why These Related Problems?

These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.