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Finding the Third Proportional to 237.75 and 355.25

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Solution

The third proportional to 237.75 and 355.25 is: 530.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    237.75 : 355.25 = 355.25 : x
  2. Step 2: Convert to fraction form
    237.75/355.25 = 355.25/x
  3. Step 3: Cross multiply
    237.75x = 355.25 × 355.25
  4. Step 4: Simplify right side
    237.75x = 126,202.56
  5. Step 5: Solve for x
    x = 126,202.56/237.75
  6. Step 6: Final answer
    x = 530.82

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.