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Finding the Third Proportional to 95,258 and 206,554

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Solution

The third proportional to 95,258 and 206,554 is: 447,884.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    95,258 : 206,554 = 206,554 : x
  2. Step 2: Convert to fraction form
    95,258/206,554 = 206,554/x
  3. Step 3: Cross multiply
    95,258x = 206,554 × 206,554
  4. Step 4: Simplify right side
    95,258x = 42,664,554,916
  5. Step 5: Solve for x
    x = 42,664,554,916/95,258
  6. Step 6: Final answer
    x = 447,884.22

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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.