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Finding the Third Proportional to 127,361 and 196,388

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Solution

The third proportional to 127,361 and 196,388 is: 302,826.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    127,361 : 196,388 = 196,388 : x
  2. Step 2: Convert to fraction form
    127,361/196,388 = 196,388/x
  3. Step 3: Cross multiply
    127,361x = 196,388 × 196,388
  4. Step 4: Simplify right side
    127,361x = 38,568,246,544
  5. Step 5: Solve for x
    x = 38,568,246,544/127,361
  6. Step 6: Final answer
    x = 302,826.19

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.