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Finding the Third Proportional to 126,176 and 274,752

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Solution

The third proportional to 126,176 and 274,752 is: 598,280.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    126,176 : 274,752 = 274,752 : x
  2. Step 2: Convert to fraction form
    126,176/274,752 = 274,752/x
  3. Step 3: Cross multiply
    126,176x = 274,752 × 274,752
  4. Step 4: Simplify right side
    126,176x = 75,488,661,504
  5. Step 5: Solve for x
    x = 75,488,661,504/126,176
  6. Step 6: Final answer
    x = 598,280.67

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.