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Finding the Third Proportional to 168,066 and 361,620

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Solution

The third proportional to 168,066 and 361,620 is: 778,081.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    168,066 : 361,620 = 361,620 : x
  2. Step 2: Convert to fraction form
    168,066/361,620 = 361,620/x
  3. Step 3: Cross multiply
    168,066x = 361,620 × 361,620
  4. Step 4: Simplify right side
    168,066x = 130,769,024,400
  5. Step 5: Solve for x
    x = 130,769,024,400/168,066
  6. Step 6: Final answer
    x = 778,081.38

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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.