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Finding the Third Proportional to 160,568 and 330,855

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Solution

The third proportional to 160,568 and 330,855 is: 681,736.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    160,568 : 330,855 = 330,855 : x
  2. Step 2: Convert to fraction form
    160,568/330,855 = 330,855/x
  3. Step 3: Cross multiply
    160,568x = 330,855 × 330,855
  4. Step 4: Simplify right side
    160,568x = 109,465,031,025
  5. Step 5: Solve for x
    x = 109,465,031,025/160,568
  6. Step 6: Final answer
    x = 681,736.28

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Why These Related Problems?

These problems maintain the same ratio (2.06) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.