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Finding the Third Proportional to 116,736 and 254,976

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Solution

The third proportional to 116,736 and 254,976 is: 556,921.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    116,736 : 254,976 = 254,976 : x
  2. Step 2: Convert to fraction form
    116,736/254,976 = 254,976/x
  3. Step 3: Cross multiply
    116,736x = 254,976 × 254,976
  4. Step 4: Simplify right side
    116,736x = 65,012,760,576
  5. Step 5: Solve for x
    x = 65,012,760,576/116,736
  6. Step 6: Final answer
    x = 556,921.26

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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.