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Finding the Third Proportional to 168,603 and 361,254

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Solution

The third proportional to 168,603 and 361,254 is: 774,033.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    168,603 : 361,254 = 361,254 : x
  2. Step 2: Convert to fraction form
    168,603/361,254 = 361,254/x
  3. Step 3: Cross multiply
    168,603x = 361,254 × 361,254
  4. Step 4: Simplify right side
    168,603x = 130,504,452,516
  5. Step 5: Solve for x
    x = 130,504,452,516/168,603
  6. Step 6: Final answer
    x = 774,033.99

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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.