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Finding the Third Proportional to 127,366 and 196,394

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Solution

The third proportional to 127,366 and 196,394 is: 302,832.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    127,366 : 196,394 = 196,394 : x
  2. Step 2: Convert to fraction form
    127,366/196,394 = 196,394/x
  3. Step 3: Cross multiply
    127,366x = 196,394 × 196,394
  4. Step 4: Simplify right side
    127,366x = 38,570,603,236
  5. Step 5: Solve for x
    x = 38,570,603,236/127,366
  6. Step 6: Final answer
    x = 302,832.81

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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.