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Finding the Third Proportional to 168,678 and 362,366

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Solution

The third proportional to 168,678 and 362,366 is: 778,460.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    168,678 : 362,366 = 362,366 : x
  2. Step 2: Convert to fraction form
    168,678/362,366 = 362,366/x
  3. Step 3: Cross multiply
    168,678x = 362,366 × 362,366
  4. Step 4: Simplify right side
    168,678x = 131,309,117,956
  5. Step 5: Solve for x
    x = 131,309,117,956/168,678
  6. Step 6: Final answer
    x = 778,460.25

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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.