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Finding the Third Proportional to 196,204 and 423,494

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Solution

The third proportional to 196,204 and 423,494 is: 914,085.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    196,204 : 423,494 = 423,494 : x
  2. Step 2: Convert to fraction form
    196,204/423,494 = 423,494/x
  3. Step 3: Cross multiply
    196,204x = 423,494 × 423,494
  4. Step 4: Simplify right side
    196,204x = 179,347,168,036
  5. Step 5: Solve for x
    x = 179,347,168,036/196,204
  6. Step 6: Final answer
    x = 914,085.18

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.