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Finding the Third Proportional to 194,216 and 305,180

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Solution

The third proportional to 194,216 and 305,180 is: 479,542.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    194,216 : 305,180 = 305,180 : x
  2. Step 2: Convert to fraction form
    194,216/305,180 = 305,180/x
  3. Step 3: Cross multiply
    194,216x = 305,180 × 305,180
  4. Step 4: Simplify right side
    194,216x = 93,134,832,400
  5. Step 5: Solve for x
    x = 93,134,832,400/194,216
  6. Step 6: Final answer
    x = 479,542.53

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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.