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Finding the Third Proportional to 196,131 and 423,366

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Solution

The third proportional to 196,131 and 423,366 is: 913,872.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    196,131 : 423,366 = 423,366 : x
  2. Step 2: Convert to fraction form
    196,131/423,366 = 423,366/x
  3. Step 3: Cross multiply
    196,131x = 423,366 × 423,366
  4. Step 4: Simplify right side
    196,131x = 179,238,769,956
  5. Step 5: Solve for x
    x = 179,238,769,956/196,131
  6. Step 6: Final answer
    x = 913,872.72

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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.