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Finding the Third Proportional to 119,589 and 253,758

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Solution

The third proportional to 119,589 and 253,758 is: 538,453.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    119,589 : 253,758 = 253,758 : x
  2. Step 2: Convert to fraction form
    119,589/253,758 = 253,758/x
  3. Step 3: Cross multiply
    119,589x = 253,758 × 253,758
  4. Step 4: Simplify right side
    119,589x = 64,393,122,564
  5. Step 5: Solve for x
    x = 64,393,122,564/119,589
  6. Step 6: Final answer
    x = 538,453.56

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.