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Finding the Third Proportional to 174,530 and 263,253

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Solution

The third proportional to 174,530 and 263,253 is: 397,078.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    174,530 : 263,253 = 263,253 : x
  2. Step 2: Convert to fraction form
    174,530/263,253 = 263,253/x
  3. Step 3: Cross multiply
    174,530x = 263,253 × 263,253
  4. Step 4: Simplify right side
    174,530x = 69,302,142,009
  5. Step 5: Solve for x
    x = 69,302,142,009/174,530
  6. Step 6: Final answer
    x = 397,078.68

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.