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Finding the Third Proportional to 160,741 and 242,568

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Solution

The third proportional to 160,741 and 242,568 is: 366,049.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    160,741 : 242,568 = 242,568 : x
  2. Step 2: Convert to fraction form
    160,741/242,568 = 242,568/x
  3. Step 3: Cross multiply
    160,741x = 242,568 × 242,568
  4. Step 4: Simplify right side
    160,741x = 58,839,234,624
  5. Step 5: Solve for x
    x = 58,839,234,624/160,741
  6. Step 6: Final answer
    x = 366,049.95

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.