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Finding the Third Proportional to 160,786 and 350,144

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Solution

The third proportional to 160,786 and 350,144 is: 762,509.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    160,786 : 350,144 = 350,144 : x
  2. Step 2: Convert to fraction form
    160,786/350,144 = 350,144/x
  3. Step 3: Cross multiply
    160,786x = 350,144 × 350,144
  4. Step 4: Simplify right side
    160,786x = 122,600,820,736
  5. Step 5: Solve for x
    x = 122,600,820,736/160,786
  6. Step 6: Final answer
    x = 762,509.30

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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.