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Finding the Third Proportional to 158,329 and 323,105

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Solution

The third proportional to 158,329 and 323,105 is: 659,366.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    158,329 : 323,105 = 323,105 : x
  2. Step 2: Convert to fraction form
    158,329/323,105 = 323,105/x
  3. Step 3: Cross multiply
    158,329x = 323,105 × 323,105
  4. Step 4: Simplify right side
    158,329x = 104,396,841,025
  5. Step 5: Solve for x
    x = 104,396,841,025/158,329
  6. Step 6: Final answer
    x = 659,366.52

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Why These Related Problems?

These problems maintain the same ratio (2.04) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.