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Finding the Third Proportional to 142,796.25 and 303,930.56

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Solution

The third proportional to 142,796.25 and 303,930.56 is: 646,892.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    142,796.25 : 303,930.56 = 303,930.56 : x
  2. Step 2: Convert to fraction form
    142,796.25/303,930.56 = 303,930.56/x
  3. Step 3: Cross multiply
    142,796.25x = 303,930.56 × 303,930.56
  4. Step 4: Simplify right side
    142,796.25x = 92,373,786,821.57
  5. Step 5: Solve for x
    x = 92,373,786,821.57/142,796.25
  6. Step 6: Final answer
    x = 646,892.25

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These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.