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Finding the Third Proportional to 159,474 and 256,950

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Solution

The third proportional to 159,474 and 256,950 is: 414,006.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    159,474 : 256,950 = 256,950 : x
  2. Step 2: Convert to fraction form
    159,474/256,950 = 256,950/x
  3. Step 3: Cross multiply
    159,474x = 256,950 × 256,950
  4. Step 4: Simplify right side
    159,474x = 66,023,302,500
  5. Step 5: Solve for x
    x = 66,023,302,500/159,474
  6. Step 6: Final answer
    x = 414,006.69

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Why These Related Problems?

These problems maintain the same ratio (1.61) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.