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Finding the Third Proportional to 126,152 and 274,704

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Solution

The third proportional to 126,152 and 274,704 is: 598,185.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    126,152 : 274,704 = 274,704 : x
  2. Step 2: Convert to fraction form
    126,152/274,704 = 274,704/x
  3. Step 3: Cross multiply
    126,152x = 274,704 × 274,704
  4. Step 4: Simplify right side
    126,152x = 75,462,287,616
  5. Step 5: Solve for x
    x = 75,462,287,616/126,152
  6. Step 6: Final answer
    x = 598,185.42

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.