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Finding the Third Proportional to 130,808.25 and 196,212.38

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Solution

The third proportional to 130,808.25 and 196,212.38 is: 294,318.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    130,808.25 : 196,212.38 = 196,212.38 : x
  2. Step 2: Convert to fraction form
    130,808.25/196,212.38 = 196,212.38/x
  3. Step 3: Cross multiply
    130,808.25x = 196,212.38 × 196,212.38
  4. Step 4: Simplify right side
    130,808.25x = 38,499,296,103.14
  5. Step 5: Solve for x
    x = 38,499,296,103.14/130,808.25
  6. Step 6: Final answer
    x = 294,318.56

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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.