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Finding the Third Proportional to 197,073 and 408,156

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Solution

The third proportional to 197,073 and 408,156 is: 845,327.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    197,073 : 408,156 = 408,156 : x
  2. Step 2: Convert to fraction form
    197,073/408,156 = 408,156/x
  3. Step 3: Cross multiply
    197,073x = 408,156 × 408,156
  4. Step 4: Simplify right side
    197,073x = 166,591,320,336
  5. Step 5: Solve for x
    x = 166,591,320,336/197,073
  6. Step 6: Final answer
    x = 845,327.98

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Why These Related Problems?

These problems maintain the same ratio (2.07) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.