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Finding the Third Proportional to 194,286 and 308,933

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Solution

The third proportional to 194,286 and 308,933 is: 491,232.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    194,286 : 308,933 = 308,933 : x
  2. Step 2: Convert to fraction form
    194,286/308,933 = 308,933/x
  3. Step 3: Cross multiply
    194,286x = 308,933 × 308,933
  4. Step 4: Simplify right side
    194,286x = 95,439,598,489
  5. Step 5: Solve for x
    x = 95,439,598,489/194,286
  6. Step 6: Final answer
    x = 491,232.51

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.