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Finding the Third Proportional to 111.25 and 228.25

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Solution

The third proportional to 111.25 and 228.25 is: 468.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    111.25 : 228.25 = 228.25 : x
  2. Step 2: Convert to fraction form
    111.25/228.25 = 228.25/x
  3. Step 3: Cross multiply
    111.25x = 228.25 × 228.25
  4. Step 4: Simplify right side
    111.25x = 52,098.06
  5. Step 5: Solve for x
    x = 52,098.06/111.25
  6. Step 6: Final answer
    x = 468.30

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Why These Related Problems?

These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.