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Finding the Third Proportional to 126,372 and 280,770

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Solution

The third proportional to 126,372 and 280,770 is: 623,807.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    126,372 : 280,770 = 280,770 : x
  2. Step 2: Convert to fraction form
    126,372/280,770 = 280,770/x
  3. Step 3: Cross multiply
    126,372x = 280,770 × 280,770
  4. Step 4: Simplify right side
    126,372x = 78,831,792,900
  5. Step 5: Solve for x
    x = 78,831,792,900/126,372
  6. Step 6: Final answer
    x = 623,807.43

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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.