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Finding the Third Proportional to 183,980 and 276,881

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Solution

The third proportional to 183,980 and 276,881 is: 416,692.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    183,980 : 276,881 = 276,881 : x
  2. Step 2: Convert to fraction form
    183,980/276,881 = 276,881/x
  3. Step 3: Cross multiply
    183,980x = 276,881 × 276,881
  4. Step 4: Simplify right side
    183,980x = 76,663,088,161
  5. Step 5: Solve for x
    x = 76,663,088,161/183,980
  6. Step 6: Final answer
    x = 416,692.51

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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.