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Finding the Third Proportional to 114,132 and 274,954

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Solution

The third proportional to 114,132 and 274,954 is: 662,388.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    114,132 : 274,954 = 274,954 : x
  2. Step 2: Convert to fraction form
    114,132/274,954 = 274,954/x
  3. Step 3: Cross multiply
    114,132x = 274,954 × 274,954
  4. Step 4: Simplify right side
    114,132x = 75,599,702,116
  5. Step 5: Solve for x
    x = 75,599,702,116/114,132
  6. Step 6: Final answer
    x = 662,388.31

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Why These Related Problems?

These problems maintain the same ratio (2.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.