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Finding the Third Proportional to 197,928 and 306,606

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Solution

The third proportional to 197,928 and 306,606 is: 474,956.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    197,928 : 306,606 = 306,606 : x
  2. Step 2: Convert to fraction form
    197,928/306,606 = 306,606/x
  3. Step 3: Cross multiply
    197,928x = 306,606 × 306,606
  4. Step 4: Simplify right side
    197,928x = 94,007,239,236
  5. Step 5: Solve for x
    x = 94,007,239,236/197,928
  6. Step 6: Final answer
    x = 474,956.75

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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.