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Finding the Third Proportional to 221,266.69 and 393,427.13

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Solution

The third proportional to 221,266.69 and 393,427.13 is: 699,540.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    221,266.69 : 393,427.13 = 393,427.13 : x
  2. Step 2: Convert to fraction form
    221,266.69/393,427.13 = 393,427.13/x
  3. Step 3: Cross multiply
    221,266.69x = 393,427.13 × 393,427.13
  4. Step 4: Simplify right side
    221,266.69x = 154,784,902,685.77
  5. Step 5: Solve for x
    x = 154,784,902,685.77/221,266.69
  6. Step 6: Final answer
    x = 699,540.02

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Why These Related Problems?

These problems maintain the same ratio (1.78) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.