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Finding the Third Proportional to 168,304 and 362,851

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Solution

The third proportional to 168,304 and 362,851 is: 782,279.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    168,304 : 362,851 = 362,851 : x
  2. Step 2: Convert to fraction form
    168,304/362,851 = 362,851/x
  3. Step 3: Cross multiply
    168,304x = 362,851 × 362,851
  4. Step 4: Simplify right side
    168,304x = 131,660,848,201
  5. Step 5: Solve for x
    x = 131,660,848,201/168,304
  6. Step 6: Final answer
    x = 782,279.97

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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.