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Finding the Third Proportional to 180,511.88 and 280,638

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Solution

The third proportional to 180,511.88 and 280,638 is: 436,301.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    180,511.88 : 280,638 = 280,638 : x
  2. Step 2: Convert to fraction form
    180,511.88/280,638 = 280,638/x
  3. Step 3: Cross multiply
    180,511.88x = 280,638 × 280,638
  4. Step 4: Simplify right side
    180,511.88x = 78,757,687,044
  5. Step 5: Solve for x
    x = 78,757,687,044/180,511.88
  6. Step 6: Final answer
    x = 436,301.97

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.