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Finding the Third Proportional to 194,614 and 419,224

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Solution

The third proportional to 194,614 and 419,224 is: 903,063.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    194,614 : 419,224 = 419,224 : x
  2. Step 2: Convert to fraction form
    194,614/419,224 = 419,224/x
  3. Step 3: Cross multiply
    194,614x = 419,224 × 419,224
  4. Step 4: Simplify right side
    194,614x = 175,748,762,176
  5. Step 5: Solve for x
    x = 175,748,762,176/194,614
  6. Step 6: Final answer
    x = 903,063.31

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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.