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Finding the Third Proportional to 114.47 and 252.56

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Solution

The third proportional to 114.47 and 252.56 is: 557.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    114.47 : 252.56 = 252.56 : x
  2. Step 2: Convert to fraction form
    114.47/252.56 = 252.56/x
  3. Step 3: Cross multiply
    114.47x = 252.56 × 252.56
  4. Step 4: Simplify right side
    114.47x = 63,787.82
  5. Step 5: Solve for x
    x = 63,787.82/114.47
  6. Step 6: Final answer
    x = 557.25

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Why These Related Problems?

These problems maintain the same ratio (2.21) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.