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Finding the Third Proportional to 182,148 and 276,912

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Solution

The third proportional to 182,148 and 276,912 is: 420,977.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    182,148 : 276,912 = 276,912 : x
  2. Step 2: Convert to fraction form
    182,148/276,912 = 276,912/x
  3. Step 3: Cross multiply
    182,148x = 276,912 × 276,912
  4. Step 4: Simplify right side
    182,148x = 76,680,255,744
  5. Step 5: Solve for x
    x = 76,680,255,744/182,148
  6. Step 6: Final answer
    x = 420,977.75

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.