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Finding the Third Proportional to 174,800 and 263,062

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Solution

The third proportional to 174,800 and 263,062 is: 395,890.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    174,800 : 263,062 = 263,062 : x
  2. Step 2: Convert to fraction form
    174,800/263,062 = 263,062/x
  3. Step 3: Cross multiply
    174,800x = 263,062 × 263,062
  4. Step 4: Simplify right side
    174,800x = 69,201,615,844
  5. Step 5: Solve for x
    x = 69,201,615,844/174,800
  6. Step 6: Final answer
    x = 395,890.25

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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.