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Finding the Third Proportional to 183,654 and 276,021

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Solution

The third proportional to 183,654 and 276,021 is: 414,843.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    183,654 : 276,021 = 276,021 : x
  2. Step 2: Convert to fraction form
    183,654/276,021 = 276,021/x
  3. Step 3: Cross multiply
    183,654x = 276,021 × 276,021
  4. Step 4: Simplify right side
    183,654x = 76,187,592,441
  5. Step 5: Solve for x
    x = 76,187,592,441/183,654
  6. Step 6: Final answer
    x = 414,843.09

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