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Finding the Third Proportional to 132,761 and 287,676

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Solution

The third proportional to 132,761 and 287,676 is: 623,356.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    132,761 : 287,676 = 287,676 : x
  2. Step 2: Convert to fraction form
    132,761/287,676 = 287,676/x
  3. Step 3: Cross multiply
    132,761x = 287,676 × 287,676
  4. Step 4: Simplify right side
    132,761x = 82,757,480,976
  5. Step 5: Solve for x
    x = 82,757,480,976/132,761
  6. Step 6: Final answer
    x = 623,356.87

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.