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Finding the Third Proportional to 159,744 and 211,968

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Solution

The third proportional to 159,744 and 211,968 is: 281,265.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    159,744 : 211,968 = 211,968 : x
  2. Step 2: Convert to fraction form
    159,744/211,968 = 211,968/x
  3. Step 3: Cross multiply
    159,744x = 211,968 × 211,968
  4. Step 4: Simplify right side
    159,744x = 44,930,433,024
  5. Step 5: Solve for x
    x = 44,930,433,024/159,744
  6. Step 6: Final answer
    x = 281,265.23

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Why These Related Problems?

These problems maintain the same ratio (1.33) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.