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Finding the Third Proportional to 194,881 and 418,774

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Solution

The third proportional to 194,881 and 418,774 is: 899,891.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    194,881 : 418,774 = 418,774 : x
  2. Step 2: Convert to fraction form
    194,881/418,774 = 418,774/x
  3. Step 3: Cross multiply
    194,881x = 418,774 × 418,774
  4. Step 4: Simplify right side
    194,881x = 175,371,663,076
  5. Step 5: Solve for x
    x = 175,371,663,076/194,881
  6. Step 6: Final answer
    x = 899,891.03

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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.