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Finding the Third Proportional to 119,206 and 271,774

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Solution

The third proportional to 119,206 and 271,774 is: 619,608.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    119,206 : 271,774 = 271,774 : x
  2. Step 2: Convert to fraction form
    119,206/271,774 = 271,774/x
  3. Step 3: Cross multiply
    119,206x = 271,774 × 271,774
  4. Step 4: Simplify right side
    119,206x = 73,861,107,076
  5. Step 5: Solve for x
    x = 73,861,107,076/119,206
  6. Step 6: Final answer
    x = 619,608.97

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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.