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Finding the Third Proportional to 183,997.50 and 276,906

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Solution

The third proportional to 183,997.50 and 276,906 is: 416,728.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    183,997.50 : 276,906 = 276,906 : x
  2. Step 2: Convert to fraction form
    183,997.50/276,906 = 276,906/x
  3. Step 3: Cross multiply
    183,997.50x = 276,906 × 276,906
  4. Step 4: Simplify right side
    183,997.50x = 76,676,932,836
  5. Step 5: Solve for x
    x = 76,676,932,836/183,997.50
  6. Step 6: Final answer
    x = 416,728.12

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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.