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Finding the Third Proportional to 150,206 and 321,736

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Solution

The third proportional to 150,206 and 321,736 is: 689,147.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    150,206 : 321,736 = 321,736 : x
  2. Step 2: Convert to fraction form
    150,206/321,736 = 321,736/x
  3. Step 3: Cross multiply
    150,206x = 321,736 × 321,736
  4. Step 4: Simplify right side
    150,206x = 103,514,053,696
  5. Step 5: Solve for x
    x = 103,514,053,696/150,206
  6. Step 6: Final answer
    x = 689,147.26

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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.