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Finding the Third Proportional to 159,786 and 350,136

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Solution

The third proportional to 159,786 and 350,136 is: 767,246.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    159,786 : 350,136 = 350,136 : x
  2. Step 2: Convert to fraction form
    159,786/350,136 = 350,136/x
  3. Step 3: Cross multiply
    159,786x = 350,136 × 350,136
  4. Step 4: Simplify right side
    159,786x = 122,595,218,496
  5. Step 5: Solve for x
    x = 122,595,218,496/159,786
  6. Step 6: Final answer
    x = 767,246.31

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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.