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Finding the Third Proportional to 159,968 and 350,065

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Solution

The third proportional to 159,968 and 350,065 is: 766,062.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    159,968 : 350,065 = 350,065 : x
  2. Step 2: Convert to fraction form
    159,968/350,065 = 350,065/x
  3. Step 3: Cross multiply
    159,968x = 350,065 × 350,065
  4. Step 4: Simplify right side
    159,968x = 122,545,504,225
  5. Step 5: Solve for x
    x = 122,545,504,225/159,968
  6. Step 6: Final answer
    x = 766,062.61

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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.