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Finding the Third Proportional to 132,852 and 280,704

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Solution

The third proportional to 132,852 and 280,704 is: 593,101.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    132,852 : 280,704 = 280,704 : x
  2. Step 2: Convert to fraction form
    132,852/280,704 = 280,704/x
  3. Step 3: Cross multiply
    132,852x = 280,704 × 280,704
  4. Step 4: Simplify right side
    132,852x = 78,794,735,616
  5. Step 5: Solve for x
    x = 78,794,735,616/132,852
  6. Step 6: Final answer
    x = 593,101.61

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Why These Related Problems?

These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.