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Finding the Third Proportional to 126,650 and 274,383

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Solution

The third proportional to 126,650 and 274,383 is: 594,441.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    126,650 : 274,383 = 274,383 : x
  2. Step 2: Convert to fraction form
    126,650/274,383 = 274,383/x
  3. Step 3: Cross multiply
    126,650x = 274,383 × 274,383
  4. Step 4: Simplify right side
    126,650x = 75,286,030,689
  5. Step 5: Solve for x
    x = 75,286,030,689/126,650
  6. Step 6: Final answer
    x = 594,441.62

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.