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Finding the Third Proportional to 168,075 and 361,635

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Solution

The third proportional to 168,075 and 361,635 is: 778,104.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    168,075 : 361,635 = 361,635 : x
  2. Step 2: Convert to fraction form
    168,075/361,635 = 361,635/x
  3. Step 3: Cross multiply
    168,075x = 361,635 × 361,635
  4. Step 4: Simplify right side
    168,075x = 130,779,873,225
  5. Step 5: Solve for x
    x = 130,779,873,225/168,075
  6. Step 6: Final answer
    x = 778,104.26

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.