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Finding the Third Proportional to 196,204 and 423,769

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Solution

The third proportional to 196,204 and 423,769 is: 915,272.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    196,204 : 423,769 = 423,769 : x
  2. Step 2: Convert to fraction form
    196,204/423,769 = 423,769/x
  3. Step 3: Cross multiply
    196,204x = 423,769 × 423,769
  4. Step 4: Simplify right side
    196,204x = 179,580,165,361
  5. Step 5: Solve for x
    x = 179,580,165,361/196,204
  6. Step 6: Final answer
    x = 915,272.70

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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.