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Finding the Third Proportional to 137,324 and 196,000

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Solution

The third proportional to 137,324 and 196,000 is: 279,747.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    137,324 : 196,000 = 196,000 : x
  2. Step 2: Convert to fraction form
    137,324/196,000 = 196,000/x
  3. Step 3: Cross multiply
    137,324x = 196,000 × 196,000
  4. Step 4: Simplify right side
    137,324x = 38,416,000,000
  5. Step 5: Solve for x
    x = 38,416,000,000/137,324
  6. Step 6: Final answer
    x = 279,747.17

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Why These Related Problems?

These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.