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Finding the Third Proportional to 174,485.25 and 263,187

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Solution

The third proportional to 174,485.25 and 263,187 is: 396,981.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    174,485.25 : 263,187 = 263,187 : x
  2. Step 2: Convert to fraction form
    174,485.25/263,187 = 263,187/x
  3. Step 3: Cross multiply
    174,485.25x = 263,187 × 263,187
  4. Step 4: Simplify right side
    174,485.25x = 69,267,396,969
  5. Step 5: Solve for x
    x = 69,267,396,969/174,485.25
  6. Step 6: Final answer
    x = 396,981.39

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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.