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Finding the Third Proportional to 159,763 and 350,081

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Solution

The third proportional to 159,763 and 350,081 is: 767,115.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    159,763 : 350,081 = 350,081 : x
  2. Step 2: Convert to fraction form
    159,763/350,081 = 350,081/x
  3. Step 3: Cross multiply
    159,763x = 350,081 × 350,081
  4. Step 4: Simplify right side
    159,763x = 122,556,706,561
  5. Step 5: Solve for x
    x = 122,556,706,561/159,763
  6. Step 6: Final answer
    x = 767,115.71

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.