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Finding the Third Proportional to 114.54 and 251.07

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Solution

The third proportional to 114.54 and 251.07 is: 550.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    114.54 : 251.07 = 251.07 : x
  2. Step 2: Convert to fraction form
    114.54/251.07 = 251.07/x
  3. Step 3: Cross multiply
    114.54x = 251.07 × 251.07
  4. Step 4: Simplify right side
    114.54x = 63,035.32
  5. Step 5: Solve for x
    x = 63,035.32/114.54
  6. Step 6: Final answer
    x = 550.34

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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.