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Finding the Third Proportional to 192,920 and 418,036

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Solution

The third proportional to 192,920 and 418,036 is: 905,837.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    192,920 : 418,036 = 418,036 : x
  2. Step 2: Convert to fraction form
    192,920/418,036 = 418,036/x
  3. Step 3: Cross multiply
    192,920x = 418,036 × 418,036
  4. Step 4: Simplify right side
    192,920x = 174,754,097,296
  5. Step 5: Solve for x
    x = 174,754,097,296/192,920
  6. Step 6: Final answer
    x = 905,837.12

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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.