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Finding the Third Proportional to 130,944 and 196,200

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Solution

The third proportional to 130,944 and 196,200 is: 293,976.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    130,944 : 196,200 = 196,200 : x
  2. Step 2: Convert to fraction form
    130,944/196,200 = 196,200/x
  3. Step 3: Cross multiply
    130,944x = 196,200 × 196,200
  4. Step 4: Simplify right side
    130,944x = 38,494,440,000
  5. Step 5: Solve for x
    x = 38,494,440,000/130,944
  6. Step 6: Final answer
    x = 293,976.36

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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.