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Finding the Third Proportional to 168,309 and 245,954

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Solution

The third proportional to 168,309 and 245,954 is: 359,418.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    168,309 : 245,954 = 245,954 : x
  2. Step 2: Convert to fraction form
    168,309/245,954 = 245,954/x
  3. Step 3: Cross multiply
    168,309x = 245,954 × 245,954
  4. Step 4: Simplify right side
    168,309x = 60,493,370,116
  5. Step 5: Solve for x
    x = 60,493,370,116/168,309
  6. Step 6: Final answer
    x = 359,418.51

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.