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Finding the Third Proportional to 149,719.50 and 224,579.25

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Solution

The third proportional to 149,719.50 and 224,579.25 is: 336,868.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    149,719.50 : 224,579.25 = 224,579.25 : x
  2. Step 2: Convert to fraction form
    149,719.50/224,579.25 = 224,579.25/x
  3. Step 3: Cross multiply
    149,719.50x = 224,579.25 × 224,579.25
  4. Step 4: Simplify right side
    149,719.50x = 50,435,839,530.56
  5. Step 5: Solve for x
    x = 50,435,839,530.56/149,719.50
  6. Step 6: Final answer
    x = 336,868.88

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Why These Related Problems?

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