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Finding the Third Proportional to 168,821 and 360,241

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Solution

The third proportional to 168,821 and 360,241 is: 768,705.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    168,821 : 360,241 = 360,241 : x
  2. Step 2: Convert to fraction form
    168,821/360,241 = 360,241/x
  3. Step 3: Cross multiply
    168,821x = 360,241 × 360,241
  4. Step 4: Simplify right side
    168,821x = 129,773,578,081
  5. Step 5: Solve for x
    x = 129,773,578,081/168,821
  6. Step 6: Final answer
    x = 768,705.19

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.