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Finding the Third Proportional to 206,164 and 447,314

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Solution

The third proportional to 206,164 and 447,314 is: 970,537.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    206,164 : 447,314 = 447,314 : x
  2. Step 2: Convert to fraction form
    206,164/447,314 = 447,314/x
  3. Step 3: Cross multiply
    206,164x = 447,314 × 447,314
  4. Step 4: Simplify right side
    206,164x = 200,089,814,596
  5. Step 5: Solve for x
    x = 200,089,814,596/206,164
  6. Step 6: Final answer
    x = 970,537.12

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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.