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Finding the Third Proportional to 152,615 and 319,170

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Solution

The third proportional to 152,615 and 319,170 is: 667,493.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    152,615 : 319,170 = 319,170 : x
  2. Step 2: Convert to fraction form
    152,615/319,170 = 319,170/x
  3. Step 3: Cross multiply
    152,615x = 319,170 × 319,170
  4. Step 4: Simplify right side
    152,615x = 101,869,488,900
  5. Step 5: Solve for x
    x = 101,869,488,900/152,615
  6. Step 6: Final answer
    x = 667,493.29

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Why These Related Problems?

These problems maintain the same ratio (2.09) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.