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Finding the Third Proportional to 160,718 and 380,760

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Solution

The third proportional to 160,718 and 380,760 is: 902,065.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    160,718 : 380,760 = 380,760 : x
  2. Step 2: Convert to fraction form
    160,718/380,760 = 380,760/x
  3. Step 3: Cross multiply
    160,718x = 380,760 × 380,760
  4. Step 4: Simplify right side
    160,718x = 144,978,177,600
  5. Step 5: Solve for x
    x = 144,978,177,600/160,718
  6. Step 6: Final answer
    x = 902,065.59

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Why These Related Problems?

These problems maintain the same ratio (2.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.