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Finding the Third Proportional to 126,715 and 274,343

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Solution

The third proportional to 126,715 and 274,343 is: 593,963.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    126,715 : 274,343 = 274,343 : x
  2. Step 2: Convert to fraction form
    126,715/274,343 = 274,343/x
  3. Step 3: Cross multiply
    126,715x = 274,343 × 274,343
  4. Step 4: Simplify right side
    126,715x = 75,264,081,649
  5. Step 5: Solve for x
    x = 75,264,081,649/126,715
  6. Step 6: Final answer
    x = 593,963.47

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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.