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Finding the Third Proportional to 194,220 and 305,186

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Solution

The third proportional to 194,220 and 305,186 is: 479,551.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    194,220 : 305,186 = 305,186 : x
  2. Step 2: Convert to fraction form
    194,220/305,186 = 305,186/x
  3. Step 3: Cross multiply
    194,220x = 305,186 × 305,186
  4. Step 4: Simplify right side
    194,220x = 93,138,494,596
  5. Step 5: Solve for x
    x = 93,138,494,596/194,220
  6. Step 6: Final answer
    x = 479,551.51

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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.