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Finding the Third Proportional to 132,723 and 291,690

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Solution

The third proportional to 132,723 and 291,690 is: 641,057.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    132,723 : 291,690 = 291,690 : x
  2. Step 2: Convert to fraction form
    132,723/291,690 = 291,690/x
  3. Step 3: Cross multiply
    132,723x = 291,690 × 291,690
  4. Step 4: Simplify right side
    132,723x = 85,083,056,100
  5. Step 5: Solve for x
    x = 85,083,056,100/132,723
  6. Step 6: Final answer
    x = 641,057.36

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.