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Finding the Third Proportional to 193,990 and 418,562

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Solution

The third proportional to 193,990 and 418,562 is: 903,109.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    193,990 : 418,562 = 418,562 : x
  2. Step 2: Convert to fraction form
    193,990/418,562 = 418,562/x
  3. Step 3: Cross multiply
    193,990x = 418,562 × 418,562
  4. Step 4: Simplify right side
    193,990x = 175,194,147,844
  5. Step 5: Solve for x
    x = 175,194,147,844/193,990
  6. Step 6: Final answer
    x = 903,109.17

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.