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Finding the Third Proportional to 178,529 and 244,805.25

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Solution

The third proportional to 178,529 and 244,805.25 is: 335,685.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    178,529 : 244,805.25 = 244,805.25 : x
  2. Step 2: Convert to fraction form
    178,529/244,805.25 = 244,805.25/x
  3. Step 3: Cross multiply
    178,529x = 244,805.25 × 244,805.25
  4. Step 4: Simplify right side
    178,529x = 59,929,610,427.56
  5. Step 5: Solve for x
    x = 59,929,610,427.56/178,529
  6. Step 6: Final answer
    x = 335,685.58

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These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.