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Finding the Third Proportional to 160,767 and 343,676

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Solution

The third proportional to 160,767 and 343,676 is: 734,685.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    160,767 : 343,676 = 343,676 : x
  2. Step 2: Convert to fraction form
    160,767/343,676 = 343,676/x
  3. Step 3: Cross multiply
    160,767x = 343,676 × 343,676
  4. Step 4: Simplify right side
    160,767x = 118,113,192,976
  5. Step 5: Solve for x
    x = 118,113,192,976/160,767
  6. Step 6: Final answer
    x = 734,685.56

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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.