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Finding the Third Proportional to 194,586 and 290,673

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Solution

The third proportional to 194,586 and 290,673 is: 434,207.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    194,586 : 290,673 = 290,673 : x
  2. Step 2: Convert to fraction form
    194,586/290,673 = 290,673/x
  3. Step 3: Cross multiply
    194,586x = 290,673 × 290,673
  4. Step 4: Simplify right side
    194,586x = 84,490,792,929
  5. Step 5: Solve for x
    x = 84,490,792,929/194,586
  6. Step 6: Final answer
    x = 434,207.97

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.