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Finding the Third Proportional to 194,816 and 418,760

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Solution

The third proportional to 194,816 and 418,760 is: 900,131.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    194,816 : 418,760 = 418,760 : x
  2. Step 2: Convert to fraction form
    194,816/418,760 = 418,760/x
  3. Step 3: Cross multiply
    194,816x = 418,760 × 418,760
  4. Step 4: Simplify right side
    194,816x = 175,359,937,600
  5. Step 5: Solve for x
    x = 175,359,937,600/194,816
  6. Step 6: Final answer
    x = 900,131.09

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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.