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Finding the Third Proportional to 116.64 and 254.22

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Solution

The third proportional to 116.64 and 254.22 is: 554.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    116.64 : 254.22 = 254.22 : x
  2. Step 2: Convert to fraction form
    116.64/254.22 = 254.22/x
  3. Step 3: Cross multiply
    116.64x = 254.22 × 254.22
  4. Step 4: Simplify right side
    116.64x = 64,627.17
  5. Step 5: Solve for x
    x = 64,627.17/116.64
  6. Step 6: Final answer
    x = 554.07

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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.