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Finding the Third Proportional to 199,567 and 219,250

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Solution

The third proportional to 199,567 and 219,250 is: 240,874.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    199,567 : 219,250 = 219,250 : x
  2. Step 2: Convert to fraction form
    199,567/219,250 = 219,250/x
  3. Step 3: Cross multiply
    199,567x = 219,250 × 219,250
  4. Step 4: Simplify right side
    199,567x = 48,070,562,500
  5. Step 5: Solve for x
    x = 48,070,562,500/199,567
  6. Step 6: Final answer
    x = 240,874.31

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Why These Related Problems?

These problems maintain the same ratio (1.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.