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Finding the Third Proportional to 182,148.75 and 274,105.69

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Solution

The third proportional to 182,148.75 and 274,105.69 is: 412,486.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    182,148.75 : 274,105.69 = 274,105.69 : x
  2. Step 2: Convert to fraction form
    182,148.75/274,105.69 = 274,105.69/x
  3. Step 3: Cross multiply
    182,148.75x = 274,105.69 × 274,105.69
  4. Step 4: Simplify right side
    182,148.75x = 75,133,927,919.85
  5. Step 5: Solve for x
    x = 75,133,927,919.85/182,148.75
  6. Step 6: Final answer
    x = 412,486.65

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.