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Finding the Third Proportional to 119,532 and 281,766

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Solution

The third proportional to 119,532 and 281,766 is: 664,191.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    119,532 : 281,766 = 281,766 : x
  2. Step 2: Convert to fraction form
    119,532/281,766 = 281,766/x
  3. Step 3: Cross multiply
    119,532x = 281,766 × 281,766
  4. Step 4: Simplify right side
    119,532x = 79,392,078,756
  5. Step 5: Solve for x
    x = 79,392,078,756/119,532
  6. Step 6: Final answer
    x = 664,191.00

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Why These Related Problems?

These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.