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Finding the Third Proportional to 127.38 and 235.75

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Solution

The third proportional to 127.38 and 235.75 is: 436.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    127.38 : 235.75 = 235.75 : x
  2. Step 2: Convert to fraction form
    127.38/235.75 = 235.75/x
  3. Step 3: Cross multiply
    127.38x = 235.75 × 235.75
  4. Step 4: Simplify right side
    127.38x = 55,578.06
  5. Step 5: Solve for x
    x = 55,578.06/127.38
  6. Step 6: Final answer
    x = 436.33

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Why These Related Problems?

These problems maintain the same ratio (1.85) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.