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Finding the Third Proportional to 168,630 and 362,019

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Solution

The third proportional to 168,630 and 362,019 is: 777,191.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    168,630 : 362,019 = 362,019 : x
  2. Step 2: Convert to fraction form
    168,630/362,019 = 362,019/x
  3. Step 3: Cross multiply
    168,630x = 362,019 × 362,019
  4. Step 4: Simplify right side
    168,630x = 131,057,756,361
  5. Step 5: Solve for x
    x = 131,057,756,361/168,630
  6. Step 6: Final answer
    x = 777,191.23

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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.