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Finding the Third Proportional to 178,850.53 and 379,024.31

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Solution

The third proportional to 178,850.53 and 379,024.31 is: 803,237.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    178,850.53 : 379,024.31 = 379,024.31 : x
  2. Step 2: Convert to fraction form
    178,850.53/379,024.31 = 379,024.31/x
  3. Step 3: Cross multiply
    178,850.53x = 379,024.31 × 379,024.31
  4. Step 4: Simplify right side
    178,850.53x = 143,659,429,466.10
  5. Step 5: Solve for x
    x = 143,659,429,466.10/178,850.53
  6. Step 6: Final answer
    x = 803,237.37

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These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.