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Finding the Third Proportional to 96,434 and 197,566

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Solution

The third proportional to 96,434 and 197,566 is: 404,756.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    96,434 : 197,566 = 197,566 : x
  2. Step 2: Convert to fraction form
    96,434/197,566 = 197,566/x
  3. Step 3: Cross multiply
    96,434x = 197,566 × 197,566
  4. Step 4: Simplify right side
    96,434x = 39,032,324,356
  5. Step 5: Solve for x
    x = 39,032,324,356/96,434
  6. Step 6: Final answer
    x = 404,756.87

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Why These Related Problems?

These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.