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Finding the Third Proportional to 150,057.75 and 354,225.75

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Solution

The third proportional to 150,057.75 and 354,225.75 is: 836,183.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    150,057.75 : 354,225.75 = 354,225.75 : x
  2. Step 2: Convert to fraction form
    150,057.75/354,225.75 = 354,225.75/x
  3. Step 3: Cross multiply
    150,057.75x = 354,225.75 × 354,225.75
  4. Step 4: Simplify right side
    150,057.75x = 125,475,881,963.06
  5. Step 5: Solve for x
    x = 125,475,881,963.06/150,057.75
  6. Step 6: Final answer
    x = 836,183.95

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These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.