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Finding the Third Proportional to 157.25 and 213.75

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Solution

The third proportional to 157.25 and 213.75 is: 290.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    157.25 : 213.75 = 213.75 : x
  2. Step 2: Convert to fraction form
    157.25/213.75 = 213.75/x
  3. Step 3: Cross multiply
    157.25x = 213.75 × 213.75
  4. Step 4: Simplify right side
    157.25x = 45,689.06
  5. Step 5: Solve for x
    x = 45,689.06/157.25
  6. Step 6: Final answer
    x = 290.55

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Why These Related Problems?

These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.