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Finding the Third Proportional to 197,163 and 430,812

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Solution

The third proportional to 197,163 and 430,812 is: 941,347.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    197,163 : 430,812 = 430,812 : x
  2. Step 2: Convert to fraction form
    197,163/430,812 = 430,812/x
  3. Step 3: Cross multiply
    197,163x = 430,812 × 430,812
  4. Step 4: Simplify right side
    197,163x = 185,598,979,344
  5. Step 5: Solve for x
    x = 185,598,979,344/197,163
  6. Step 6: Final answer
    x = 941,347.92

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.