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Finding the Third Proportional to 174,244 and 381,686

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Solution

The third proportional to 174,244 and 381,686 is: 836,093.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    174,244 : 381,686 = 381,686 : x
  2. Step 2: Convert to fraction form
    174,244/381,686 = 381,686/x
  3. Step 3: Cross multiply
    174,244x = 381,686 × 381,686
  4. Step 4: Simplify right side
    174,244x = 145,684,202,596
  5. Step 5: Solve for x
    x = 145,684,202,596/174,244
  6. Step 6: Final answer
    x = 836,093.08

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.