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Finding the Third Proportional to 159,834 and 350,772

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Solution

The third proportional to 159,834 and 350,772 is: 769,804.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    159,834 : 350,772 = 350,772 : x
  2. Step 2: Convert to fraction form
    159,834/350,772 = 350,772/x
  3. Step 3: Cross multiply
    159,834x = 350,772 × 350,772
  4. Step 4: Simplify right side
    159,834x = 123,040,995,984
  5. Step 5: Solve for x
    x = 123,040,995,984/159,834
  6. Step 6: Final answer
    x = 769,804.90

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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.