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Finding the Third Proportional to 160,847 and 343,778

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Solution

The third proportional to 160,847 and 343,778 is: 734,756.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    160,847 : 343,778 = 343,778 : x
  2. Step 2: Convert to fraction form
    160,847/343,778 = 343,778/x
  3. Step 3: Cross multiply
    160,847x = 343,778 × 343,778
  4. Step 4: Simplify right side
    160,847x = 118,183,313,284
  5. Step 5: Solve for x
    x = 118,183,313,284/160,847
  6. Step 6: Final answer
    x = 734,756.09

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.