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Finding the Third Proportional to 150,032 and 325,824

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Solution

The third proportional to 150,032 and 325,824 is: 707,590.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    150,032 : 325,824 = 325,824 : x
  2. Step 2: Convert to fraction form
    150,032/325,824 = 325,824/x
  3. Step 3: Cross multiply
    150,032x = 325,824 × 325,824
  4. Step 4: Simplify right side
    150,032x = 106,161,278,976
  5. Step 5: Solve for x
    x = 106,161,278,976/150,032
  6. Step 6: Final answer
    x = 707,590.91

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.