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Finding the Third Proportional to 254.25 and 343.25

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Solution

The third proportional to 254.25 and 343.25 is: 463.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    254.25 : 343.25 = 343.25 : x
  2. Step 2: Convert to fraction form
    254.25/343.25 = 343.25/x
  3. Step 3: Cross multiply
    254.25x = 343.25 × 343.25
  4. Step 4: Simplify right side
    254.25x = 117,820.56
  5. Step 5: Solve for x
    x = 117,820.56/254.25
  6. Step 6: Final answer
    x = 463.40

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Why These Related Problems?

These problems maintain the same ratio (1.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.