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Finding the Third Proportional to 159,631 and 250,462

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Solution

The third proportional to 159,631 and 250,462 is: 392,976.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    159,631 : 250,462 = 250,462 : x
  2. Step 2: Convert to fraction form
    159,631/250,462 = 250,462/x
  3. Step 3: Cross multiply
    159,631x = 250,462 × 250,462
  4. Step 4: Simplify right side
    159,631x = 62,731,213,444
  5. Step 5: Solve for x
    x = 62,731,213,444/159,631
  6. Step 6: Final answer
    x = 392,976.39

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.