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Finding the Third Proportional to 182,099.50 and 275,688.75

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Solution

The third proportional to 182,099.50 and 275,688.75 is: 417,377.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    182,099.50 : 275,688.75 = 275,688.75 : x
  2. Step 2: Convert to fraction form
    182,099.50/275,688.75 = 275,688.75/x
  3. Step 3: Cross multiply
    182,099.50x = 275,688.75 × 275,688.75
  4. Step 4: Simplify right side
    182,099.50x = 76,004,286,876.56
  5. Step 5: Solve for x
    x = 76,004,286,876.56/182,099.50
  6. Step 6: Final answer
    x = 417,377.79

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.