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Finding the Third Proportional to 149,631.75 and 224,592.75

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Solution

The third proportional to 149,631.75 and 224,592.75 is: 337,106.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    149,631.75 : 224,592.75 = 224,592.75 : x
  2. Step 2: Convert to fraction form
    149,631.75/224,592.75 = 224,592.75/x
  3. Step 3: Cross multiply
    149,631.75x = 224,592.75 × 224,592.75
  4. Step 4: Simplify right side
    149,631.75x = 50,441,903,352.56
  5. Step 5: Solve for x
    x = 50,441,903,352.56/149,631.75
  6. Step 6: Final answer
    x = 337,106.95

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.