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Finding the Third Proportional to 178,066 and 362,728

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Solution

The third proportional to 178,066 and 362,728 is: 738,892.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    178,066 : 362,728 = 362,728 : x
  2. Step 2: Convert to fraction form
    178,066/362,728 = 362,728/x
  3. Step 3: Cross multiply
    178,066x = 362,728 × 362,728
  4. Step 4: Simplify right side
    178,066x = 131,571,601,984
  5. Step 5: Solve for x
    x = 131,571,601,984/178,066
  6. Step 6: Final answer
    x = 738,892.33

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Why These Related Problems?

These problems maintain the same ratio (2.04) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.