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Finding the Third Proportional to 167,530 and 259,075

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Solution

The third proportional to 167,530 and 259,075 is: 400,643.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    167,530 : 259,075 = 259,075 : x
  2. Step 2: Convert to fraction form
    167,530/259,075 = 259,075/x
  3. Step 3: Cross multiply
    167,530x = 259,075 × 259,075
  4. Step 4: Simplify right side
    167,530x = 67,119,855,625
  5. Step 5: Solve for x
    x = 67,119,855,625/167,530
  6. Step 6: Final answer
    x = 400,643.80

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.