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Finding the Third Proportional to 159,893 and 231,000

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Solution

The third proportional to 159,893 and 231,000 is: 333,729.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    159,893 : 231,000 = 231,000 : x
  2. Step 2: Convert to fraction form
    159,893/231,000 = 231,000/x
  3. Step 3: Cross multiply
    159,893x = 231,000 × 231,000
  4. Step 4: Simplify right side
    159,893x = 53,361,000,000
  5. Step 5: Solve for x
    x = 53,361,000,000/159,893
  6. Step 6: Final answer
    x = 333,729.43

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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.