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Finding the Third Proportional to 196,286 and 425,764

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Solution

The third proportional to 196,286 and 425,764 is: 923,524.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    196,286 : 425,764 = 425,764 : x
  2. Step 2: Convert to fraction form
    196,286/425,764 = 425,764/x
  3. Step 3: Cross multiply
    196,286x = 425,764 × 425,764
  4. Step 4: Simplify right side
    196,286x = 181,274,983,696
  5. Step 5: Solve for x
    x = 181,274,983,696/196,286
  6. Step 6: Final answer
    x = 923,524.77

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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.