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Finding the Third Proportional to 141.75 and 228.25

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Solution

The third proportional to 141.75 and 228.25 is: 367.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    141.75 : 228.25 = 228.25 : x
  2. Step 2: Convert to fraction form
    141.75/228.25 = 228.25/x
  3. Step 3: Cross multiply
    141.75x = 228.25 × 228.25
  4. Step 4: Simplify right side
    141.75x = 52,098.06
  5. Step 5: Solve for x
    x = 52,098.06/141.75
  6. Step 6: Final answer
    x = 367.53

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Why These Related Problems?

These problems maintain the same ratio (1.61) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.