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Finding the Third Proportional to 174,754 and 379,100

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Solution

The third proportional to 174,754 and 379,100 is: 822,394.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    174,754 : 379,100 = 379,100 : x
  2. Step 2: Convert to fraction form
    174,754/379,100 = 379,100/x
  3. Step 3: Cross multiply
    174,754x = 379,100 × 379,100
  4. Step 4: Simplify right side
    174,754x = 143,716,810,000
  5. Step 5: Solve for x
    x = 143,716,810,000/174,754
  6. Step 6: Final answer
    x = 822,394.97

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.