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Finding the Third Proportional to 206,296 and 452,416

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Solution

The third proportional to 206,296 and 452,416 is: 992,167.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    206,296 : 452,416 = 452,416 : x
  2. Step 2: Convert to fraction form
    206,296/452,416 = 452,416/x
  3. Step 3: Cross multiply
    206,296x = 452,416 × 452,416
  4. Step 4: Simplify right side
    206,296x = 204,680,237,056
  5. Step 5: Solve for x
    x = 204,680,237,056/206,296
  6. Step 6: Final answer
    x = 992,167.74

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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.