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Finding the Third Proportional to 146,792.63 and 281,921.25

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Solution

The third proportional to 146,792.63 and 281,921.25 is: 541,441.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    146,792.63 : 281,921.25 = 281,921.25 : x
  2. Step 2: Convert to fraction form
    146,792.63/281,921.25 = 281,921.25/x
  3. Step 3: Cross multiply
    146,792.63x = 281,921.25 × 281,921.25
  4. Step 4: Simplify right side
    146,792.63x = 79,479,591,201.56
  5. Step 5: Solve for x
    x = 79,479,591,201.56/146,792.63
  6. Step 6: Final answer
    x = 541,441.31

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These problems maintain the same ratio (1.92) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.