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Finding the Third Proportional to 173,171 and 259,763

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Solution

The third proportional to 173,171 and 259,763 is: 389,654.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    173,171 : 259,763 = 259,763 : x
  2. Step 2: Convert to fraction form
    173,171/259,763 = 259,763/x
  3. Step 3: Cross multiply
    173,171x = 259,763 × 259,763
  4. Step 4: Simplify right side
    173,171x = 67,476,816,169
  5. Step 5: Solve for x
    x = 67,476,816,169/173,171
  6. Step 6: Final answer
    x = 389,654.25

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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.