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Finding the Third Proportional to 114.62 and 252.02

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Solution

The third proportional to 114.62 and 252.02 is: 554.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    114.62 : 252.02 = 252.02 : x
  2. Step 2: Convert to fraction form
    114.62/252.02 = 252.02/x
  3. Step 3: Cross multiply
    114.62x = 252.02 × 252.02
  4. Step 4: Simplify right side
    114.62x = 63,512.86
  5. Step 5: Solve for x
    x = 63,512.86/114.62
  6. Step 6: Final answer
    x = 554.13

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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.