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Finding the Third Proportional to 171,012 and 263,241

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Solution

The third proportional to 171,012 and 263,241 is: 405,210.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    171,012 : 263,241 = 263,241 : x
  2. Step 2: Convert to fraction form
    171,012/263,241 = 263,241/x
  3. Step 3: Cross multiply
    171,012x = 263,241 × 263,241
  4. Step 4: Simplify right side
    171,012x = 69,295,824,081
  5. Step 5: Solve for x
    x = 69,295,824,081/171,012
  6. Step 6: Final answer
    x = 405,210.30

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.