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Finding the Third Proportional to 160,744 and 350,060

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Solution

The third proportional to 160,744 and 350,060 is: 762,342.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    160,744 : 350,060 = 350,060 : x
  2. Step 2: Convert to fraction form
    160,744/350,060 = 350,060/x
  3. Step 3: Cross multiply
    160,744x = 350,060 × 350,060
  4. Step 4: Simplify right side
    160,744x = 122,542,003,600
  5. Step 5: Solve for x
    x = 122,542,003,600/160,744
  6. Step 6: Final answer
    x = 762,342.63

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.