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Finding the Third Proportional to 141.56 and 213.75

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Solution

The third proportional to 141.56 and 213.75 is: 322.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    141.56 : 213.75 = 213.75 : x
  2. Step 2: Convert to fraction form
    141.56/213.75 = 213.75/x
  3. Step 3: Cross multiply
    141.56x = 213.75 × 213.75
  4. Step 4: Simplify right side
    141.56x = 45,689.06
  5. Step 5: Solve for x
    x = 45,689.06/141.56
  6. Step 6: Final answer
    x = 322.75

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.