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Finding the Third Proportional to 149,678 and 224,518

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Solution

The third proportional to 149,678 and 224,518 is: 336,778.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    149,678 : 224,518 = 224,518 : x
  2. Step 2: Convert to fraction form
    149,678/224,518 = 224,518/x
  3. Step 3: Cross multiply
    149,678x = 224,518 × 224,518
  4. Step 4: Simplify right side
    149,678x = 50,408,332,324
  5. Step 5: Solve for x
    x = 50,408,332,324/149,678
  6. Step 6: Final answer
    x = 336,778.50

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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.