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Finding the Third Proportional to 114.47 and 251.72

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Solution

The third proportional to 114.47 and 251.72 is: 553.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    114.47 : 251.72 = 251.72 : x
  2. Step 2: Convert to fraction form
    114.47/251.72 = 251.72/x
  3. Step 3: Cross multiply
    114.47x = 251.72 × 251.72
  4. Step 4: Simplify right side
    114.47x = 63,362.33
  5. Step 5: Solve for x
    x = 63,362.33/114.47
  6. Step 6: Final answer
    x = 553.53

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