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Finding the Third Proportional to 141.11 and 271.54

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Solution

The third proportional to 141.11 and 271.54 is: 522.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    141.11 : 271.54 = 271.54 : x
  2. Step 2: Convert to fraction form
    141.11/271.54 = 271.54/x
  3. Step 3: Cross multiply
    141.11x = 271.54 × 271.54
  4. Step 4: Simplify right side
    141.11x = 73,731.74
  5. Step 5: Solve for x
    x = 73,731.74/141.11
  6. Step 6: Final answer
    x = 522.52

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Why These Related Problems?

These problems maintain the same ratio (1.92) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.