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Finding the Third Proportional to 141.43 and 214.52

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Solution

The third proportional to 141.43 and 214.52 is: 325.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    141.43 : 214.52 = 214.52 : x
  2. Step 2: Convert to fraction form
    141.43/214.52 = 214.52/x
  3. Step 3: Cross multiply
    141.43x = 214.52 × 214.52
  4. Step 4: Simplify right side
    141.43x = 46,020.31
  5. Step 5: Solve for x
    x = 46,020.31/141.43
  6. Step 6: Final answer
    x = 325.38

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.