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Finding the Third Proportional to 194,873 and 418,754

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Solution

The third proportional to 194,873 and 418,754 is: 899,842.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    194,873 : 418,754 = 418,754 : x
  2. Step 2: Convert to fraction form
    194,873/418,754 = 418,754/x
  3. Step 3: Cross multiply
    194,873x = 418,754 × 418,754
  4. Step 4: Simplify right side
    194,873x = 175,354,912,516
  5. Step 5: Solve for x
    x = 175,354,912,516/194,873
  6. Step 6: Final answer
    x = 899,842.01

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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.