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Finding the Third Proportional to 192,519 and 418,602

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Solution

The third proportional to 192,519 and 418,602 is: 910,183.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    192,519 : 418,602 = 418,602 : x
  2. Step 2: Convert to fraction form
    192,519/418,602 = 418,602/x
  3. Step 3: Cross multiply
    192,519x = 418,602 × 418,602
  4. Step 4: Simplify right side
    192,519x = 175,227,634,404
  5. Step 5: Solve for x
    x = 175,227,634,404/192,519
  6. Step 6: Final answer
    x = 910,183.59

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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.