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Finding the Third Proportional to 116.96 and 254.36

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Solution

The third proportional to 116.96 and 254.36 is: 553.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    116.96 : 254.36 = 254.36 : x
  2. Step 2: Convert to fraction form
    116.96/254.36 = 254.36/x
  3. Step 3: Cross multiply
    116.96x = 254.36 × 254.36
  4. Step 4: Simplify right side
    116.96x = 64,696.70
  5. Step 5: Solve for x
    x = 64,696.70/116.96
  6. Step 6: Final answer
    x = 553.13

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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.