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Finding the Third Proportional to 155,968 and 223,041

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Solution

The third proportional to 155,968 and 223,041 is: 318,958.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    155,968 : 223,041 = 223,041 : x
  2. Step 2: Convert to fraction form
    155,968/223,041 = 223,041/x
  3. Step 3: Cross multiply
    155,968x = 223,041 × 223,041
  4. Step 4: Simplify right side
    155,968x = 49,747,287,681
  5. Step 5: Solve for x
    x = 49,747,287,681/155,968
  6. Step 6: Final answer
    x = 318,958.30

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Why These Related Problems?

These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.