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Finding the Third Proportional to 194,450 and 419,248

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Solution

The third proportional to 194,450 and 419,248 is: 903,928.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    194,450 : 419,248 = 419,248 : x
  2. Step 2: Convert to fraction form
    194,450/419,248 = 419,248/x
  3. Step 3: Cross multiply
    194,450x = 419,248 × 419,248
  4. Step 4: Simplify right side
    194,450x = 175,768,885,504
  5. Step 5: Solve for x
    x = 175,768,885,504/194,450
  6. Step 6: Final answer
    x = 903,928.44

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.