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Finding the Third Proportional to 149,381 and 224,234

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Solution

The third proportional to 149,381 and 224,234 is: 336,594.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    149,381 : 224,234 = 224,234 : x
  2. Step 2: Convert to fraction form
    149,381/224,234 = 224,234/x
  3. Step 3: Cross multiply
    149,381x = 224,234 × 224,234
  4. Step 4: Simplify right side
    149,381x = 50,280,886,756
  5. Step 5: Solve for x
    x = 50,280,886,756/149,381
  6. Step 6: Final answer
    x = 336,594.93

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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.