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Finding the Third Proportional to 197,775 and 306,477

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Solution

The third proportional to 197,775 and 306,477 is: 474,924.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    197,775 : 306,477 = 306,477 : x
  2. Step 2: Convert to fraction form
    197,775/306,477 = 306,477/x
  3. Step 3: Cross multiply
    197,775x = 306,477 × 306,477
  4. Step 4: Simplify right side
    197,775x = 93,928,151,529
  5. Step 5: Solve for x
    x = 93,928,151,529/197,775
  6. Step 6: Final answer
    x = 474,924.29

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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.