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Finding the Third Proportional to 168,266 and 362,764

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Solution

The third proportional to 168,266 and 362,764 is: 782,081.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    168,266 : 362,764 = 362,764 : x
  2. Step 2: Convert to fraction form
    168,266/362,764 = 362,764/x
  3. Step 3: Cross multiply
    168,266x = 362,764 × 362,764
  4. Step 4: Simplify right side
    168,266x = 131,597,719,696
  5. Step 5: Solve for x
    x = 131,597,719,696/168,266
  6. Step 6: Final answer
    x = 782,081.46

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.