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Finding the Third Proportional to 150,959 and 323,059

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Solution

The third proportional to 150,959 and 323,059 is: 691,360.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    150,959 : 323,059 = 323,059 : x
  2. Step 2: Convert to fraction form
    150,959/323,059 = 323,059/x
  3. Step 3: Cross multiply
    150,959x = 323,059 × 323,059
  4. Step 4: Simplify right side
    150,959x = 104,367,117,481
  5. Step 5: Solve for x
    x = 104,367,117,481/150,959
  6. Step 6: Final answer
    x = 691,360.68

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.