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Finding the Third Proportional to 193,015.44 and 278,450.20

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Solution

The third proportional to 193,015.44 and 278,450.20 is: 401,701.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    193,015.44 : 278,450.20 = 278,450.20 : x
  2. Step 2: Convert to fraction form
    193,015.44/278,450.20 = 278,450.20/x
  3. Step 3: Cross multiply
    193,015.44x = 278,450.20 × 278,450.20
  4. Step 4: Simplify right side
    193,015.44x = 77,534,515,620.35
  5. Step 5: Solve for x
    x = 77,534,515,620.35/193,015.44
  6. Step 6: Final answer
    x = 401,701.11

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Why These Related Problems?

These problems maintain the same ratio (1.44) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.