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Finding the Third Proportional to 189,494 and 252,813

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Solution

The third proportional to 189,494 and 252,813 is: 337,289.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    189,494 : 252,813 = 252,813 : x
  2. Step 2: Convert to fraction form
    189,494/252,813 = 252,813/x
  3. Step 3: Cross multiply
    189,494x = 252,813 × 252,813
  4. Step 4: Simplify right side
    189,494x = 63,914,412,969
  5. Step 5: Solve for x
    x = 63,914,412,969/189,494
  6. Step 6: Final answer
    x = 337,289.90

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Why These Related Problems?

These problems maintain the same ratio (1.33) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.