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Finding the Third Proportional to 159,966 and 350,061

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Solution

The third proportional to 159,966 and 350,061 is: 766,054.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    159,966 : 350,061 = 350,061 : x
  2. Step 2: Convert to fraction form
    159,966/350,061 = 350,061/x
  3. Step 3: Cross multiply
    159,966x = 350,061 × 350,061
  4. Step 4: Simplify right side
    159,966x = 122,542,703,721
  5. Step 5: Solve for x
    x = 122,542,703,721/159,966
  6. Step 6: Final answer
    x = 766,054.68

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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.