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Finding the Third Proportional to 206,152 and 447,554

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Solution

The third proportional to 206,152 and 447,554 is: 971,635.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    206,152 : 447,554 = 447,554 : x
  2. Step 2: Convert to fraction form
    206,152/447,554 = 447,554/x
  3. Step 3: Cross multiply
    206,152x = 447,554 × 447,554
  4. Step 4: Simplify right side
    206,152x = 200,304,582,916
  5. Step 5: Solve for x
    x = 200,304,582,916/206,152
  6. Step 6: Final answer
    x = 971,635.41

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