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Finding the Third Proportional to 150,242 and 224,894

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Solution

The third proportional to 150,242 and 224,894 is: 336,638.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    150,242 : 224,894 = 224,894 : x
  2. Step 2: Convert to fraction form
    150,242/224,894 = 224,894/x
  3. Step 3: Cross multiply
    150,242x = 224,894 × 224,894
  4. Step 4: Simplify right side
    150,242x = 50,577,311,236
  5. Step 5: Solve for x
    x = 50,577,311,236/150,242
  6. Step 6: Final answer
    x = 336,638.96

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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.