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Finding the Third Proportional to 202,882 and 436,940

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Solution

The third proportional to 202,882 and 436,940 is: 941,022.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    202,882 : 436,940 = 436,940 : x
  2. Step 2: Convert to fraction form
    202,882/436,940 = 436,940/x
  3. Step 3: Cross multiply
    202,882x = 436,940 × 436,940
  4. Step 4: Simplify right side
    202,882x = 190,916,563,600
  5. Step 5: Solve for x
    x = 190,916,563,600/202,882
  6. Step 6: Final answer
    x = 941,022.68

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.