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Finding the Third Proportional to 197,612 and 306,446

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Solution

The third proportional to 197,612 and 306,446 is: 475,219.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    197,612 : 306,446 = 306,446 : x
  2. Step 2: Convert to fraction form
    197,612/306,446 = 306,446/x
  3. Step 3: Cross multiply
    197,612x = 306,446 × 306,446
  4. Step 4: Simplify right side
    197,612x = 93,909,150,916
  5. Step 5: Solve for x
    x = 93,909,150,916/197,612
  6. Step 6: Final answer
    x = 475,219.88

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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.