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Finding the Third Proportional to 194,188 and 421,592

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Solution

The third proportional to 194,188 and 421,592 is: 915,297.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    194,188 : 421,592 = 421,592 : x
  2. Step 2: Convert to fraction form
    194,188/421,592 = 421,592/x
  3. Step 3: Cross multiply
    194,188x = 421,592 × 421,592
  4. Step 4: Simplify right side
    194,188x = 177,739,814,464
  5. Step 5: Solve for x
    x = 177,739,814,464/194,188
  6. Step 6: Final answer
    x = 915,297.62

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.