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Finding the Third Proportional to 114.96 and 252.70

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Solution

The third proportional to 114.96 and 252.70 is: 555.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    114.96 : 252.70 = 252.70 : x
  2. Step 2: Convert to fraction form
    114.96/252.70 = 252.70/x
  3. Step 3: Cross multiply
    114.96x = 252.70 × 252.70
  4. Step 4: Simplify right side
    114.96x = 63,858.87
  5. Step 5: Solve for x
    x = 63,858.87/114.96
  6. Step 6: Final answer
    x = 555.48

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.