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Finding the Third Proportional to 183,896 and 276,028

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Solution

The third proportional to 183,896 and 276,028 is: 414,318.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    183,896 : 276,028 = 276,028 : x
  2. Step 2: Convert to fraction form
    183,896/276,028 = 276,028/x
  3. Step 3: Cross multiply
    183,896x = 276,028 × 276,028
  4. Step 4: Simplify right side
    183,896x = 76,191,456,784
  5. Step 5: Solve for x
    x = 76,191,456,784/183,896
  6. Step 6: Final answer
    x = 414,318.18

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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.