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Finding the Third Proportional to 180,579.50 and 279,999

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Solution

The third proportional to 180,579.50 and 279,999 is: 434,154.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    180,579.50 : 279,999 = 279,999 : x
  2. Step 2: Convert to fraction form
    180,579.50/279,999 = 279,999/x
  3. Step 3: Cross multiply
    180,579.50x = 279,999 × 279,999
  4. Step 4: Simplify right side
    180,579.50x = 78,399,440,001
  5. Step 5: Solve for x
    x = 78,399,440,001/180,579.50
  6. Step 6: Final answer
    x = 434,154.71

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.