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Finding the Third Proportional to 168,075 and 364,404

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Solution

The third proportional to 168,075 and 364,404 is: 790,065.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    168,075 : 364,404 = 364,404 : x
  2. Step 2: Convert to fraction form
    168,075/364,404 = 364,404/x
  3. Step 3: Cross multiply
    168,075x = 364,404 × 364,404
  4. Step 4: Simplify right side
    168,075x = 132,790,275,216
  5. Step 5: Solve for x
    x = 132,790,275,216/168,075
  6. Step 6: Final answer
    x = 790,065.60

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These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.