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Finding the Third Proportional to 252.66 and 341.34

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Solution

The third proportional to 252.66 and 341.34 is: 461.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    252.66 : 341.34 = 341.34 : x
  2. Step 2: Convert to fraction form
    252.66/341.34 = 341.34/x
  3. Step 3: Cross multiply
    252.66x = 341.34 × 341.34
  4. Step 4: Simplify right side
    252.66x = 116,515.56
  5. Step 5: Solve for x
    x = 116,515.56/252.66
  6. Step 6: Final answer
    x = 461.16

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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.