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Finding the Third Proportional to 116,679 and 255,954

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Solution

The third proportional to 116,679 and 255,954 is: 561,475.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    116,679 : 255,954 = 255,954 : x
  2. Step 2: Convert to fraction form
    116,679/255,954 = 255,954/x
  3. Step 3: Cross multiply
    116,679x = 255,954 × 255,954
  4. Step 4: Simplify right side
    116,679x = 65,512,450,116
  5. Step 5: Solve for x
    x = 65,512,450,116/116,679
  6. Step 6: Final answer
    x = 561,475.93

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.