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Finding the Third Proportional to 186,633 and 283,405

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Solution

The third proportional to 186,633 and 283,405 is: 430,354.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    186,633 : 283,405 = 283,405 : x
  2. Step 2: Convert to fraction form
    186,633/283,405 = 283,405/x
  3. Step 3: Cross multiply
    186,633x = 283,405 × 283,405
  4. Step 4: Simplify right side
    186,633x = 80,318,394,025
  5. Step 5: Solve for x
    x = 80,318,394,025/186,633
  6. Step 6: Final answer
    x = 430,354.73

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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.