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Finding the Third Proportional to 197,553 and 466,149

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Solution

The third proportional to 197,553 and 466,149 is: 1,099,932.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    197,553 : 466,149 = 466,149 : x
  2. Step 2: Convert to fraction form
    197,553/466,149 = 466,149/x
  3. Step 3: Cross multiply
    197,553x = 466,149 × 466,149
  4. Step 4: Simplify right side
    197,553x = 217,294,890,201
  5. Step 5: Solve for x
    x = 217,294,890,201/197,553
  6. Step 6: Final answer
    x = 1,099,932.12

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Why These Related Problems?

These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.