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Finding the Third Proportional to 101.16 and 228.49

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Solution

The third proportional to 101.16 and 228.49 is: 516.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    101.16 : 228.49 = 228.49 : x
  2. Step 2: Convert to fraction form
    101.16/228.49 = 228.49/x
  3. Step 3: Cross multiply
    101.16x = 228.49 × 228.49
  4. Step 4: Simplify right side
    101.16x = 52,208.68
  5. Step 5: Solve for x
    x = 52,208.68/101.16
  6. Step 6: Final answer
    x = 516.12

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Why These Related Problems?

These problems maintain the same ratio (2.26) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.