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Finding the Third Proportional to 120.38 and 257.63

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Solution

The third proportional to 120.38 and 257.63 is: 551.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    120.38 : 257.63 = 257.63 : x
  2. Step 2: Convert to fraction form
    120.38/257.63 = 257.63/x
  3. Step 3: Cross multiply
    120.38x = 257.63 × 257.63
  4. Step 4: Simplify right side
    120.38x = 66,370.64
  5. Step 5: Solve for x
    x = 66,370.64/120.38
  6. Step 6: Final answer
    x = 551.37

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.