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Finding the Third Proportional to 206,400 and 452,166

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Solution

The third proportional to 206,400 and 452,166 is: 990,572.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    206,400 : 452,166 = 452,166 : x
  2. Step 2: Convert to fraction form
    206,400/452,166 = 452,166/x
  3. Step 3: Cross multiply
    206,400x = 452,166 × 452,166
  4. Step 4: Simplify right side
    206,400x = 204,454,091,556
  5. Step 5: Solve for x
    x = 204,454,091,556/206,400
  6. Step 6: Final answer
    x = 990,572.15

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.