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Finding the Third Proportional to 197,536 and 313,800

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Solution

The third proportional to 197,536 and 313,800 is: 498,493.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    197,536 : 313,800 = 313,800 : x
  2. Step 2: Convert to fraction form
    197,536/313,800 = 313,800/x
  3. Step 3: Cross multiply
    197,536x = 313,800 × 313,800
  4. Step 4: Simplify right side
    197,536x = 98,470,440,000
  5. Step 5: Solve for x
    x = 98,470,440,000/197,536
  6. Step 6: Final answer
    x = 498,493.64

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.