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Finding the Third Proportional to 194,958 and 418,932

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Solution

The third proportional to 194,958 and 418,932 is: 900,214.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    194,958 : 418,932 = 418,932 : x
  2. Step 2: Convert to fraction form
    194,958/418,932 = 418,932/x
  3. Step 3: Cross multiply
    194,958x = 418,932 × 418,932
  4. Step 4: Simplify right side
    194,958x = 175,504,020,624
  5. Step 5: Solve for x
    x = 175,504,020,624/194,958
  6. Step 6: Final answer
    x = 900,214.51

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.