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Finding the Third Proportional to 194,676 and 414,444

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Solution

The third proportional to 194,676 and 414,444 is: 882,306.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    194,676 : 414,444 = 414,444 : x
  2. Step 2: Convert to fraction form
    194,676/414,444 = 414,444/x
  3. Step 3: Cross multiply
    194,676x = 414,444 × 414,444
  4. Step 4: Simplify right side
    194,676x = 171,763,829,136
  5. Step 5: Solve for x
    x = 171,763,829,136/194,676
  6. Step 6: Final answer
    x = 882,306.13

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.