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Finding the Third Proportional to 182.25 and 250.88

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Solution

The third proportional to 182.25 and 250.88 is: 345.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    182.25 : 250.88 = 250.88 : x
  2. Step 2: Convert to fraction form
    182.25/250.88 = 250.88/x
  3. Step 3: Cross multiply
    182.25x = 250.88 × 250.88
  4. Step 4: Simplify right side
    182.25x = 62,938.27
  5. Step 5: Solve for x
    x = 62,938.27/182.25
  6. Step 6: Final answer
    x = 345.34

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.