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Finding the Third Proportional to 194,162 and 423,460

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Solution

The third proportional to 194,162 and 423,460 is: 923,550.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    194,162 : 423,460 = 423,460 : x
  2. Step 2: Convert to fraction form
    194,162/423,460 = 423,460/x
  3. Step 3: Cross multiply
    194,162x = 423,460 × 423,460
  4. Step 4: Simplify right side
    194,162x = 179,318,371,600
  5. Step 5: Solve for x
    x = 179,318,371,600/194,162
  6. Step 6: Final answer
    x = 923,550.29

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.