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Finding the Third Proportional to 174,768 and 263,016

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Solution

The third proportional to 174,768 and 263,016 is: 395,824.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    174,768 : 263,016 = 263,016 : x
  2. Step 2: Convert to fraction form
    174,768/263,016 = 263,016/x
  3. Step 3: Cross multiply
    174,768x = 263,016 × 263,016
  4. Step 4: Simplify right side
    174,768x = 69,177,416,256
  5. Step 5: Solve for x
    x = 69,177,416,256/174,768
  6. Step 6: Final answer
    x = 395,824.27

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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.