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Finding the Third Proportional to 130,842 and 196,425

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Solution

The third proportional to 130,842 and 196,425 is: 294,880.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    130,842 : 196,425 = 196,425 : x
  2. Step 2: Convert to fraction form
    130,842/196,425 = 196,425/x
  3. Step 3: Cross multiply
    130,842x = 196,425 × 196,425
  4. Step 4: Simplify right side
    130,842x = 38,582,780,625
  5. Step 5: Solve for x
    x = 38,582,780,625/130,842
  6. Step 6: Final answer
    x = 294,880.70

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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.