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Finding the Third Proportional to 95,258 and 206,920

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Solution

The third proportional to 95,258 and 206,920 is: 449,472.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    95,258 : 206,920 = 206,920 : x
  2. Step 2: Convert to fraction form
    95,258/206,920 = 206,920/x
  3. Step 3: Cross multiply
    95,258x = 206,920 × 206,920
  4. Step 4: Simplify right side
    95,258x = 42,815,886,400
  5. Step 5: Solve for x
    x = 42,815,886,400/95,258
  6. Step 6: Final answer
    x = 449,472.87

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.