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Finding the Third Proportional to 248.75 and 347.97

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Solution

The third proportional to 248.75 and 347.97 is: 486.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    248.75 : 347.97 = 347.97 : x
  2. Step 2: Convert to fraction form
    248.75/347.97 = 347.97/x
  3. Step 3: Cross multiply
    248.75x = 347.97 × 347.97
  4. Step 4: Simplify right side
    248.75x = 121,082.25
  5. Step 5: Solve for x
    x = 121,082.25/248.75
  6. Step 6: Final answer
    x = 486.76

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.