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Finding the Third Proportional to 130,997 and 196,293

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Solution

The third proportional to 130,997 and 196,293 is: 294,136.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    130,997 : 196,293 = 196,293 : x
  2. Step 2: Convert to fraction form
    130,997/196,293 = 196,293/x
  3. Step 3: Cross multiply
    130,997x = 196,293 × 196,293
  4. Step 4: Simplify right side
    130,997x = 38,530,941,849
  5. Step 5: Solve for x
    x = 38,530,941,849/130,997
  6. Step 6: Final answer
    x = 294,136.06

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.