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Finding the Third Proportional to 165,996 and 263,925

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Solution

The third proportional to 165,996 and 263,925 is: 419,627.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    165,996 : 263,925 = 263,925 : x
  2. Step 2: Convert to fraction form
    165,996/263,925 = 263,925/x
  3. Step 3: Cross multiply
    165,996x = 263,925 × 263,925
  4. Step 4: Simplify right side
    165,996x = 69,656,405,625
  5. Step 5: Solve for x
    x = 69,656,405,625/165,996
  6. Step 6: Final answer
    x = 419,627.01

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.