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Finding the Third Proportional to 141.72 and 228.42

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Solution

The third proportional to 141.72 and 228.42 is: 368.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    141.72 : 228.42 = 228.42 : x
  2. Step 2: Convert to fraction form
    141.72/228.42 = 228.42/x
  3. Step 3: Cross multiply
    141.72x = 228.42 × 228.42
  4. Step 4: Simplify right side
    141.72x = 52,176.55
  5. Step 5: Solve for x
    x = 52,176.55/141.72
  6. Step 6: Final answer
    x = 368.17

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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.