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Finding the Third Proportional to 196,218 and 423,796

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Solution

The third proportional to 196,218 and 423,796 is: 915,324.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    196,218 : 423,796 = 423,796 : x
  2. Step 2: Convert to fraction form
    196,218/423,796 = 423,796/x
  3. Step 3: Cross multiply
    196,218x = 423,796 × 423,796
  4. Step 4: Simplify right side
    196,218x = 179,603,049,616
  5. Step 5: Solve for x
    x = 179,603,049,616/196,218
  6. Step 6: Final answer
    x = 915,324.03

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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.