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Finding the Third Proportional to 196,276 and 425,744

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Solution

The third proportional to 196,276 and 425,744 is: 923,485.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    196,276 : 425,744 = 425,744 : x
  2. Step 2: Convert to fraction form
    196,276/425,744 = 425,744/x
  3. Step 3: Cross multiply
    196,276x = 425,744 × 425,744
  4. Step 4: Simplify right side
    196,276x = 181,257,953,536
  5. Step 5: Solve for x
    x = 181,257,953,536/196,276
  6. Step 6: Final answer
    x = 923,485.06

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.