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Finding the Third Proportional to 119,199 and 271,749

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Solution

The third proportional to 119,199 and 271,749 is: 619,531.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    119,199 : 271,749 = 271,749 : x
  2. Step 2: Convert to fraction form
    119,199/271,749 = 271,749/x
  3. Step 3: Cross multiply
    119,199x = 271,749 × 271,749
  4. Step 4: Simplify right side
    119,199x = 73,847,519,001
  5. Step 5: Solve for x
    x = 73,847,519,001/119,199
  6. Step 6: Final answer
    x = 619,531.36

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Why These Related Problems?

These problems maintain the same ratio (2.28) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.