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Finding the Third Proportional to 150,311.63 and 224,738.25

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Solution

The third proportional to 150,311.63 and 224,738.25 is: 336,017.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    150,311.63 : 224,738.25 = 224,738.25 : x
  2. Step 2: Convert to fraction form
    150,311.63/224,738.25 = 224,738.25/x
  3. Step 3: Cross multiply
    150,311.63x = 224,738.25 × 224,738.25
  4. Step 4: Simplify right side
    150,311.63x = 50,507,281,013.06
  5. Step 5: Solve for x
    x = 50,507,281,013.06/150,311.63
  6. Step 6: Final answer
    x = 336,017.13

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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.