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Finding the Third Proportional to 159,974 and 350,080

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Solution

The third proportional to 159,974 and 350,080 is: 766,099.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    159,974 : 350,080 = 350,080 : x
  2. Step 2: Convert to fraction form
    159,974/350,080 = 350,080/x
  3. Step 3: Cross multiply
    159,974x = 350,080 × 350,080
  4. Step 4: Simplify right side
    159,974x = 122,556,006,400
  5. Step 5: Solve for x
    x = 122,556,006,400/159,974
  6. Step 6: Final answer
    x = 766,099.53

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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.