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Finding the Third Proportional to 194,221 and 305,188

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Solution

The third proportional to 194,221 and 305,188 is: 479,555.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    194,221 : 305,188 = 305,188 : x
  2. Step 2: Convert to fraction form
    194,221/305,188 = 305,188/x
  3. Step 3: Cross multiply
    194,221x = 305,188 × 305,188
  4. Step 4: Simplify right side
    194,221x = 93,139,715,344
  5. Step 5: Solve for x
    x = 93,139,715,344/194,221
  6. Step 6: Final answer
    x = 479,555.33

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.