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Finding the Third Proportional to 168,504 and 360,698

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Solution

The third proportional to 168,504 and 360,698 is: 772,106.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    168,504 : 360,698 = 360,698 : x
  2. Step 2: Convert to fraction form
    168,504/360,698 = 360,698/x
  3. Step 3: Cross multiply
    168,504x = 360,698 × 360,698
  4. Step 4: Simplify right side
    168,504x = 130,103,047,204
  5. Step 5: Solve for x
    x = 130,103,047,204/168,504
  6. Step 6: Final answer
    x = 772,106.58

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.