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Finding the Third Proportional to 194,028 and 290,286

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Solution

The third proportional to 194,028 and 290,286 is: 434,297.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    194,028 : 290,286 = 290,286 : x
  2. Step 2: Convert to fraction form
    194,028/290,286 = 290,286/x
  3. Step 3: Cross multiply
    194,028x = 290,286 × 290,286
  4. Step 4: Simplify right side
    194,028x = 84,265,961,796
  5. Step 5: Solve for x
    x = 84,265,961,796/194,028
  6. Step 6: Final answer
    x = 434,297.95

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.