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Finding the Third Proportional to 186,674 and 283,451

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Solution

The third proportional to 186,674 and 283,451 is: 430,399.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    186,674 : 283,451 = 283,451 : x
  2. Step 2: Convert to fraction form
    186,674/283,451 = 283,451/x
  3. Step 3: Cross multiply
    186,674x = 283,451 × 283,451
  4. Step 4: Simplify right side
    186,674x = 80,344,469,401
  5. Step 5: Solve for x
    x = 80,344,469,401/186,674
  6. Step 6: Final answer
    x = 430,399.89

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.