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Finding the Third Proportional to 194,069 and 421,792

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Solution

The third proportional to 194,069 and 421,792 is: 916,728.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    194,069 : 421,792 = 421,792 : x
  2. Step 2: Convert to fraction form
    194,069/421,792 = 421,792/x
  3. Step 3: Cross multiply
    194,069x = 421,792 × 421,792
  4. Step 4: Simplify right side
    194,069x = 177,908,491,264
  5. Step 5: Solve for x
    x = 177,908,491,264/194,069
  6. Step 6: Final answer
    x = 916,728.03

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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.