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Finding the Third Proportional to 192,007 and 418,952

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Solution

The third proportional to 192,007 and 418,952 is: 914,137.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    192,007 : 418,952 = 418,952 : x
  2. Step 2: Convert to fraction form
    192,007/418,952 = 418,952/x
  3. Step 3: Cross multiply
    192,007x = 418,952 × 418,952
  4. Step 4: Simplify right side
    192,007x = 175,520,778,304
  5. Step 5: Solve for x
    x = 175,520,778,304/192,007
  6. Step 6: Final answer
    x = 914,137.39

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.