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Finding the Third Proportional to 234,960.75 and 378,321.75

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Solution

The third proportional to 234,960.75 and 378,321.75 is: 609,154.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    234,960.75 : 378,321.75 = 378,321.75 : x
  2. Step 2: Convert to fraction form
    234,960.75/378,321.75 = 378,321.75/x
  3. Step 3: Cross multiply
    234,960.75x = 378,321.75 × 378,321.75
  4. Step 4: Simplify right side
    234,960.75x = 143,127,346,523.06
  5. Step 5: Solve for x
    x = 143,127,346,523.06/234,960.75
  6. Step 6: Final answer
    x = 609,154.28

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These problems maintain the same ratio (1.61) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.