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Finding the Third Proportional to 96,414 and 197,526

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Solution

The third proportional to 96,414 and 197,526 is: 404,676.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    96,414 : 197,526 = 197,526 : x
  2. Step 2: Convert to fraction form
    96,414/197,526 = 197,526/x
  3. Step 3: Cross multiply
    96,414x = 197,526 × 197,526
  4. Step 4: Simplify right side
    96,414x = 39,016,520,676
  5. Step 5: Solve for x
    x = 39,016,520,676/96,414
  6. Step 6: Final answer
    x = 404,676.92

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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.