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Finding the Third Proportional to 126,334.50 and 280,695

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Solution

The third proportional to 126,334.50 and 280,695 is: 623,659.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    126,334.50 : 280,695 = 280,695 : x
  2. Step 2: Convert to fraction form
    126,334.50/280,695 = 280,695/x
  3. Step 3: Cross multiply
    126,334.50x = 280,695 × 280,695
  4. Step 4: Simplify right side
    126,334.50x = 78,789,683,025
  5. Step 5: Solve for x
    x = 78,789,683,025/126,334.50
  6. Step 6: Final answer
    x = 623,659.28

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Why These Related Problems?

These problems maintain the same ratio (2.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.