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Finding the Third Proportional to 194,625 and 414,360

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Solution

The third proportional to 194,625 and 414,360 is: 882,179.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    194,625 : 414,360 = 414,360 : x
  2. Step 2: Convert to fraction form
    194,625/414,360 = 414,360/x
  3. Step 3: Cross multiply
    194,625x = 414,360 × 414,360
  4. Step 4: Simplify right side
    194,625x = 171,694,209,600
  5. Step 5: Solve for x
    x = 171,694,209,600/194,625
  6. Step 6: Final answer
    x = 882,179.63

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.