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Finding the Third Proportional to 168,546 and 356,100

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Solution

The third proportional to 168,546 and 356,100 is: 752,359.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    168,546 : 356,100 = 356,100 : x
  2. Step 2: Convert to fraction form
    168,546/356,100 = 356,100/x
  3. Step 3: Cross multiply
    168,546x = 356,100 × 356,100
  4. Step 4: Simplify right side
    168,546x = 126,807,210,000
  5. Step 5: Solve for x
    x = 126,807,210,000/168,546
  6. Step 6: Final answer
    x = 752,359.65

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Why These Related Problems?

These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.