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Finding the Third Proportional to 194,048 and 424,170

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Solution

The third proportional to 194,048 and 424,170 is: 927,194.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    194,048 : 424,170 = 424,170 : x
  2. Step 2: Convert to fraction form
    194,048/424,170 = 424,170/x
  3. Step 3: Cross multiply
    194,048x = 424,170 × 424,170
  4. Step 4: Simplify right side
    194,048x = 179,920,188,900
  5. Step 5: Solve for x
    x = 179,920,188,900/194,048
  6. Step 6: Final answer
    x = 927,194.25

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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.