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Finding the Third Proportional to 192,918 and 418,032

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Solution

The third proportional to 192,918 and 418,032 is: 905,829.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    192,918 : 418,032 = 418,032 : x
  2. Step 2: Convert to fraction form
    192,918/418,032 = 418,032/x
  3. Step 3: Cross multiply
    192,918x = 418,032 × 418,032
  4. Step 4: Simplify right side
    192,918x = 174,750,753,024
  5. Step 5: Solve for x
    x = 174,750,753,024/192,918
  6. Step 6: Final answer
    x = 905,829.18

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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.