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Finding the Third Proportional to 194,861 and 418,730

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Solution

The third proportional to 194,861 and 418,730 is: 899,794.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    194,861 : 418,730 = 418,730 : x
  2. Step 2: Convert to fraction form
    194,861/418,730 = 418,730/x
  3. Step 3: Cross multiply
    194,861x = 418,730 × 418,730
  4. Step 4: Simplify right side
    194,861x = 175,334,812,900
  5. Step 5: Solve for x
    x = 175,334,812,900/194,861
  6. Step 6: Final answer
    x = 899,794.28

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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.