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Finding the Third Proportional to 192,986 and 418,982

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Solution

The third proportional to 192,986 and 418,982 is: 909,630.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    192,986 : 418,982 = 418,982 : x
  2. Step 2: Convert to fraction form
    192,986/418,982 = 418,982/x
  3. Step 3: Cross multiply
    192,986x = 418,982 × 418,982
  4. Step 4: Simplify right side
    192,986x = 175,545,916,324
  5. Step 5: Solve for x
    x = 175,545,916,324/192,986
  6. Step 6: Final answer
    x = 909,630.32

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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.