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Finding the Third Proportional to 150,169.50 and 224,808.75

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Solution

The third proportional to 150,169.50 and 224,808.75 is: 336,546.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    150,169.50 : 224,808.75 = 224,808.75 : x
  2. Step 2: Convert to fraction form
    150,169.50/224,808.75 = 224,808.75/x
  3. Step 3: Cross multiply
    150,169.50x = 224,808.75 × 224,808.75
  4. Step 4: Simplify right side
    150,169.50x = 50,538,974,076.56
  5. Step 5: Solve for x
    x = 50,538,974,076.56/150,169.50
  6. Step 6: Final answer
    x = 336,546.20

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1.5x scale

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.