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Finding the Third Proportional to 194,558 and 426,022

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Solution

The third proportional to 194,558 and 426,022 is: 932,856.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    194,558 : 426,022 = 426,022 : x
  2. Step 2: Convert to fraction form
    194,558/426,022 = 426,022/x
  3. Step 3: Cross multiply
    194,558x = 426,022 × 426,022
  4. Step 4: Simplify right side
    194,558x = 181,494,744,484
  5. Step 5: Solve for x
    x = 181,494,744,484/194,558
  6. Step 6: Final answer
    x = 932,856.75

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.