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Finding the Third Proportional to 196,948 and 305,538

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Solution

The third proportional to 196,948 and 305,538 is: 474,000.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    196,948 : 305,538 = 305,538 : x
  2. Step 2: Convert to fraction form
    196,948/305,538 = 305,538/x
  3. Step 3: Cross multiply
    196,948x = 305,538 × 305,538
  4. Step 4: Simplify right side
    196,948x = 93,353,469,444
  5. Step 5: Solve for x
    x = 93,353,469,444/196,948
  6. Step 6: Final answer
    x = 474,000.60

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.